Lines and Planes in LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUklbXN1cEdGJDYlLUkjbWlHRiQ2KVEoJiM4NDc3O0YnLyUlc2l6ZUdRIzI0RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lK2ZvcmVncm91bmRHUSpbMCwwLDI1NV1GJy8lLG1hdGh2YXJpYW50R1ElYm9sZEYnLyUrZm9udHdlaWdodEdGQC1GIzYnLUkjbW5HRiQ2KFEiM0YnL0YzUSMyMEYnRjVGO0Y+RkFGMi9GOUY3RjsvRj9RJ2l0YWxpY0YnLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJy9GP1Enbm9ybWFsRic= Orthocenter of First-Octant Triangle LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= If H:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtaUdGJDYlUSJ1RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ2RidGNEY3RjotRjE2JVEid0YnRjRGN0Y+Rj5GPg== is the orthocenter of the triangle whose vertices are at A:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtaUdGJDYlUSJhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1JI21uR0YkNiRRIjBGJ0Y+RjpGVUY+Rj4tRjE2I1EhRidGPg==, B:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtbkdGJDYkUSIwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictSSNtaUdGJDYlUSJiRicvJSdpdGFsaWNHRkAvRjVRJ2l0YWxpY0YnRjdGMEY0RjRGNA==, C:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtbkdGJDYkUSIwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY3LUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR0ZAL0Y1USdpdGFsaWNGJ0Y0RjRGNA==, show that the line from the origin to H is orthogonal to the plane of the triangle. Hint: The orthocenter of a triangle is the intersection of its altitudes. (This problem is motivated by a post to MaplePrimes.) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Let the equation of the plane through A:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtaUdGJDYlUSJhRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1JI21uR0YkNiRRIjBGJ0Y+RjpGVUY+Rj4tRjE2I1EhRidGPg==, B:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtbkdGJDYkUSIwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictSSNtaUdGJDYlUSJiRicvJSdpdGFsaWNHRkAvRjVRJ2l0YWxpY0YnRjdGMEY0RjRGNA==, C:LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtbkdGJDYkUSIwRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRidGMEY3LUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR0ZAL0Y1USdpdGFsaWNGJ0Y0RjRGNA== be given by 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. The orthocenter is at the intersection of any two altitudes. This intersection can be found from the conditions 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 JSFH where H is the vector from the orthocenter, assumed to have coordinates LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtaUdGJDYlUSJ1RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ2RidGNEY3RjotRjE2JVEid0YnRjRGN0Y+Rj5GPg==. The condition that puts LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNigtSSNtaUdGJDYlUSJ1RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ2RidGNEY3RjotRjE2JVEid0YnRjRGN0Y+Rj5GPg== on the plane is 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. JSFH Solve these three equations for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEidUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEidkYnRi9GMkY1LUYsNiVRIndGJ0YvRjJGOQ==, and show that H is collinear with the normal 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. restart: A:=<2,0,0>: B:=<0,4,0>: C:=<0,0,5>: CB:=C-B: CA:=C-A: H:=<200,100,80>/141: HA:=H-A: HB:=H-B: RBC:=VectorCalculus[RootedVector](root=B,CB): RAC:=VectorCalculus[RootedVector](root=A,CA): RAH:=VectorCalculus[RootedVector](root=A,HA): RBH:=VectorCalculus[RootedVector](root=B,HB): p1:=plot3d(5-5*x/2-5*y/4,x=0..2,y=0..4,style=surface,color=gray,transparency=.8,view=0..5): p2:=VectorCalculus[PlotVector]([A,B,C,H],color=black,width=.1): p3:=VectorCalculus[PlotVector]([RAH,RBH],color=red,width=.1): p4:=VectorCalculus[PlotVector]([RAC,RBC],color=green,width=.1): p5:=plots[textplot3d]({[2.2,0,0,"A"],[0,4.2,0,"B"],[0,.2,5,"C"],[1.2,.9,.56,"H"]}): plots[display](p||(1..5),scaling=constrained,axes=none,lightmodel=none); restart:

-%'PLOT3DG6P-%%GRIDG6(;$""!!""$"#?!"";$""!!""$"#S!""7S7S$"#]!""$"1LLLLL$e*[!#:$"1nmmmmm"z%!#:$"&vo%!"%$"1LLLLLL$e%!#:$"1nmmmm;zW!#:$"%vV!"$$"1MLLLL$3F%!#:$"1nmmmmmmT!#:$"&D1%!"%$"1LLLLLLeR!#:$"2lmmmmmT&Q!#;$"$v$!"#$"2NLLLLLek$!#;$"1nmmmmmTN!#:$"&vV$!"%$"1MLLLLLLL!#:$"1nmmmm;HK!#:$"2/+++++]7$!#;$"1MLLLL$3-$!#:$"2ummmmmm"H!#;$"1,++++]7G!#:$"2WLLLLL$3F!#;$"1ommmm;/E!#:$"1,++++++D!#:$"2WLLLLLeR#!#;$"2ummmmm;H#!#;$"2/+++++v=#!#;$"1MLLLLL$3#!#:$"1nmmmm;z>!#:$"%v=!"$$"1LLLLL$3x"!#:$"1mmmmmmm;!#:$"2'**********\i:!#;$"2ELLLLL$e9!#;$"2cmmmmmTN"!#;$"2"************\7!#;$"2@LLLLLe9"!#;$"2_mmmmm;/"!#;$"1#)*********\P*!#;$"18LLLLLL$)!#;$"1Vmmmmm"H(!#;$"1#)**********\i!#;$"18LLLLL3_!#;$"1VmmmmmmT!#;$"2M(*********\7$!#<$"2PILLLLL3#!#<$"2Tjmmmm;/"!#<$!1,0!)yOr_N!#I7S$"1LLLLL$e*[!#:$"1mmmmmm"z%!#:$"&vo%!"%$"1LLLLLL$e%!#:$"1mmmmm;zW!#:$"%vV!"$$"1LLLLL$3F%!#:$"1mmmmmmmT!#:$"&D1%!"%$"1LLLLLLeR!#:$"1mmmmm;aQ!#:$"2'************\P!#;$"1LLLLL$ek$!#:$"2lmmmmm;a$!#;$"&vV$!"%$"1LLLLLLLL!#:$"1nmmmm;HK!#:$"%DJ!"$$"2NLLLLL3-$!#;$"1nmmmmm;H!#:$"2/+++++D"G!#;$"1MLLLLL3F!#:$"2ummmmmTg#!#;$"1,++++++D!#:$"1MLLLL$eR#!#:$"2ummmmm;H#!#;$"2/+++++v=#!#;$"2NLLLLLL3#!#;$"1nmmmm;z>!#:$"%v=!"$$"1LLLLL$3x"!#:$"1mmmmmmm;!#:$"2"**********\i:!#;$"2ELLLLL$e9!#;$"2cmmmmmTN"!#;$"2()***********\7!#;$"2@LLLLLe9"!#;$"2_mmmmm;/"!#;$"1#)*********\P*!#;$"18LLLLLL$)!#;$"1Vmmmmm"H(!#;$"1t**********\i!#;$"18LLLLL3_!#;$"1VmmmmmmT!#;$"2M(*********\7$!#<$"2PILLLLL3#!#<$"2Tjmmmm;/"!#<$!1,0!)yOr_N!#I$!2_qmmmm;/"!#<7S$"1nmmmmm"z%!#:$"&vo%!"%$"1MLLLLL$e%!#:$"1nmmmm;zW!#:$"%vV!"$$"1MLLLL$3F%!#:$"1nmmmmmmT!#:$"&D1%!"%$"1MLLLLLeR!#:$"1nmmmm;aQ!#:$"$v$!"#$"2NLLLLLek$!#;$"1nmmmmmTN!#:$"2/+++++vV$!#;$"1MLLLLLLL!#:$"1nmmmm;HK!#:$"1,+++++DJ!#:$"1MLLLL$3-$!#:$"2ummmmmm"H!#;$"1,++++]7G!#:$"2WLLLLL$3F!#;$"1ommmm;/E!#:$"28++++++]#!#;$"1NLLLL$eR#!#:$"1ommmmm"H#!#:$"28+++++v=#!#;$"2WLLLLLL3#!#;$"2ummmmm"z>!#;$"24+++++](=!#;$"1MLLLL$3x"!#:$"1nmmmmmm;!#:$"&Dc"!"%$"1LLLLLLe9!#:$"2lmmmmmTN"!#;$"2'************\7!#;$"2ELLLLLe9"!#;$"1mmmmmmT5!#:$"1"**********\P*!#;$"1@LLLLLL$)!#;$"1_mmmmm"H(!#;$"1#)**********\i!#;$"18LLLLL3_!#;$"1_mmmmmmT!#;$"1#)*********\7$!#;$"2EJLLLLL3#!#<$"1VmmmmmT5!#;$!2dP+"f_`kE!#J$!2jpmmmm;/"!#<$!1mLLLLL$3#!#;7S$"&vo%!"%$"1LLLLLL$e%!#:$"1nmmmm;zW!#:$"%vV!"$$"1LLLLL$3F%!#:$"1nmmmmmmT!#:$"&D1%!"%$"2NLLLLL$eR!#;$"1nmmmm;aQ!#:$"$v$!"#$"1LLLLL$ek$!#:$"2lmmmmm;a$!#;$"&vV$!"%$"2NLLLLLLL$!#;$"1nmmmm;HK!#:$"%DJ!"$$"1MLLLL$3-$!#:$"1nmmmmm;H!#:$"2/+++++D"G!#;$"1MLLLLL3F!#:$"2ummmmmTg#!#;$"1,++++++D!#:$"2WLLLLLeR#!#;$"1ommmmm"H#!#:$"1,++++](=#!#:$"2WLLLLLL3#!#;$"2ummmmm"z>!#;$"2/+++++](=!#;$"1MLLLL$3x"!#:$"1nmmmmmm;!#:$"&Dc"!"%$"1LLLLLLe9!#:$"1mmmmm;a8!#:$"2'************\7!#;$"2ELLLLLe9"!#;$"2cmmmmm;/"!#;$"1"**********\P*!#;$"1@LLLLLL$)!#;$"1_mmmmm"H(!#;$"1#)**********\i!#;$"18LLLLL3_!#;$"1VmmmmmmT!#;$"1#)*********\7$!#;$"2EJLLLLL3#!#<$"1VmmmmmT5!#;$!2dP+"f_`kE!#J$!2jpmmmm;/"!#<$!1mLLLLL$3#!#;$!2b.++++]7$!#<7S$"1LLLLLL$e%!#:$"1mmmmm;zW!#:$"%vV!"$$"1LLLLL$3F%!#:$"1mmmmmmmT!#:$"&D1%!"%$"1LLLLLLeR!#:$"2lmmmmmT&Q!#;$"$v$!"#$"1LLLLL$ek$!#:$"1mmmmmmTN!#:$"2'**********\PM!#;$"1LLLLLLLL!#:$"2lmmmmm"HK!#;$"%DJ!"$$"1LLLLL$3-$!#:$"1nmmmmm;H!#:$"&D"G!"%$"2NLLLLL$3F!#;$"1nmmmm;/E!#:$"2/++++++]#!#;$"1MLLLL$eR#!#:$"2ummmmm;H#!#;$"1,++++](=#!#:$"1MLLLLL$3#!#:$"2ummmmm"z>!#;$"2/+++++](=!#;$"2NLLLLL3x"!#;$"1nmmmmmm;!#:$"&Dc"!"%$"1LLLLLLe9!#:$"1mmmmm;a8!#:$"2"************\7!#;$"2ELLLLLe9"!#;$"2cmmmmm;/"!#;$"1()*********\P*!#;$"1@LLLLLL$)!#;$"1_mmmmm"H(!#;$"1#)**********\i!#;$"18LLLLL3_!#;$"1VmmmmmmT!#;$"2M(*********\7$!#<$"2EJLLLLL3#!#<$"1VmmmmmT5!#;$!2dP+"f_`kE!#J$!2jpmmmm;/"!#<$!1mLLLLL$3#!#;$!2b.++++]7$!#<$!10nmmmmmT!#;7S$"1nmmmm;zW!#:$"%vV!"$$"1MLLLL$3F%!#:$"1nmmmmmmT!#:$"&D1%!"%$"1MLLLLLeR!#:$"1nmmmm;aQ!#:$"2/++++++v$!#;$"1MLLLL$ek$!#:$"1nmmmmmTN!#:$"&vV$!"%$"2NLLLLLLL$!#;$"1nmmmm;HK!#:$"2/+++++]7$!#;$"1MLLLL$3-$!#:$"1nmmmmm;H!#:$"1,++++]7G!#:$"1MLLLLL3F!#:$"2ummmmmTg#!#;$"1,++++++D!#:$"2WLLLLLeR#!#;$"1ommmmm"H#!#:$"28+++++v=#!#;$"1NLLLLL$3#!#:$"2zmmmmm"z>!#;$"28+++++](=!#;$"2WLLLLL3x"!#;$"2ummmmmmm"!#;$"24+++++Dc"!#;$"1MLLLLLe9!#:$"1nmmmm;a8!#:$"$D"!"#$"1LLLLL$e9"!#:$"2lmmmmm;/"!#;$"1'**********\P*!#;$"1ELLLLLL$)!#;$"1hmmmmm"H(!#;$"1"***********\i!#;$"1@LLLLL3_!#;$"1_mmmmmmT!#;$"1#)*********\7$!#;$"2EJLLLLL3#!#<$"2>lmmmm;/"!#<$!20D+%RoNw<!#J$!2uommmm;/"!#<$!1dLLLLL$3#!#;$!2m-++++]7$!#<$!1'pmmmmm;%!#;$!1mLLLLL3_!#;7S$"%vV!"$$"1LLLLL$3F%!#:$"1nmmmmmmT!#:$"&D1%!"%$"2NLLLLL$eR!#;$"1nmmmm;aQ!#:$"$v$!"#$"2NLLLLLek$!#;$"1nmmmmmTN!#:$"&vV$!"%$"1LLLLLLLL!#:$"2lmmmmm"HK!#;$"%DJ!"$$"2NLLLLL3-$!#;$"1nmmmmm;H!#:$"&D"G!"%$"1MLLLLL3F!#:$"1nmmmm;/E!#:$"2/++++++]#!#;$"1MLLLL$eR#!#:$"2ummmmm;H#!#;$"1,++++](=#!#:$"2WLLLLLL3#!#;$"2zmmmmm"z>!#;$"24+++++](=!#;$"2WLLLLL3x"!#;$"2ummmmmmm"!#;$"2/+++++Dc"!#;$"1MLLLLLe9!#:$"1nmmmm;a8!#:$"$D"!"#$"1LLLLL$e9"!#:$"1mmmmmmT5!#:$"1'**********\P*!#;$"1ELLLLLL$)!#;$"1cmmmmm"H(!#;$"1"***********\i!#;$"1@LLLLL3_!#;$"1_mmmmmmT!#;$"1#)*********\7$!#;$"2EJLLLLL3#!#<$"1VmmmmmT5!#;$!20D+%RoNw<!#J$!2uommmm;/"!#<$!1dLLLLL$3#!#;$!2m-++++]7$!#<$!1'pmmmmm;%!#;$!1mLLLLL3_!#;$!1O+++++]i!#;7S$"1MLLLL$3F%!#:$"1nmmmmmmT!#:$"1,++++]iS!#:$"1MLLLLLeR!#:$"2ummmmmT&Q!#;$"1,+++++]P!#:$"1MLLLL$ek$!#:$"2ummmmm;a$!#;$"1,++++]PM!#:$"1MLLLLLLL!#:$"1nmmmm;HK!#:$"2/+++++]7$!#;$"1MLLLL$3-$!#:$"2ummmmmm"H!#;$"1,++++]7G!#:$"1MLLLLL3F!#:$"1ommmm;/E!#:$"1,++++++D!#:$"2WLLLLLeR#!#;$"1ommmmm"H#!#:$"28+++++v=#!#;$"1NLLLLL$3#!#:$"2$ommmm;z>!#;$"2=+++++](=!#;$"2[LLLLL3x"!#;$"2$ommmmmm;!#;$"28+++++Dc"!#;$"2WLLLLL$e9!#;$"2zmmmmmTN"!#;$"24++++++D"!#;$"1MLLLL$e9"!#:$"1nmmmmmT5!#:$"%v$*!"%$"1NLLLLLL$)!#;$"1lmmmmm"H(!#;$"1'***********\i!#;$"0LLLLL$3_!#:$"1hmmmmmmT!#;$"1"**********\7$!#;$"2:KLLLLL3#!#<$"2>lmmmm;/"!#<$!20D+%RoNw<!#J$!2&ymmmmmT5!#<$!1[LLLLL$3#!#;$!1=+++++DJ!#;$!2uommmmm;%!#<$!1dLLLLL3_!#;$!1F+++++]i!#;$!1'pmmmm;H(!#;7S$"1nmmmmmmT!#:$"&D1%!"%$"2NLLLLL$eR!#;$"1nmmmm;aQ!#:$"2/++++++v$!#;$"1MLLLL$ek$!#:$"1nmmmmmTN!#:$"2/+++++vV$!#;$"1MLLLLLLL!#:$"1nmmmm;HK!#:$"%DJ!"$$"2NLLLLL3-$!#;$"1nmmmmm;H!#:$"2/+++++D"G!#;$"1MLLLLL3F!#:$"1nmmmm;/E!#:$"1,++++++D!#:$"1MLLLL$eR#!#:$"2ummmmm;H#!#;$"1,++++](=#!#:$"2WLLLLLL3#!#;$"2zmmmmm"z>!#;$"28+++++](=!#;$"2[LLLLL3x"!#;$"2zmmmmmmm"!#;$"28+++++Dc"!#;$"2WLLLLL$e9!#;$"2ummmmmTN"!#;$"24++++++D"!#;$"1MLLLL$e9"!#:$"1nmmmmmT5!#:$"%v$*!"%$"0LLLLLLL)!#:$"1lmmmmm"H(!#;$"1'***********\i!#;$"1ELLLLL3_!#;$"1hmmmmmmT!#;$"1"**********\7$!#;$"2:KLLLLL3#!#<$"2>lmmmm;/"!#<$!20D+%RoNw<!#J$!2uommmm;/"!#<$!1[LLLLL$3#!#;$!1=+++++DJ!#;$!2uommmmm;%!#<$!1dLLLLL3_!#;$!1F+++++]i!#;$!1'pmmmm;H(!#;$!1mLLLLLL$)!#;7S$"&D1%!"%$"2NLLLLL$eR!#;$"2lmmmmmT&Q!#;$"$v$!"#$"2NLLLLLek$!#;$"1nmmmmmTN!#:$"&vV$!"%$"2NLLLLLLL$!#;$"1nmmmm;HK!#:$"%DJ!"$$"1LLLLL$3-$!#:$"2lmmmmmm"H!#;$"&D"G!"%$"2NLLLLL$3F!#;$"1nmmmm;/E!#:$"#D!""$"1MLLLL$eR#!#:$"1nmmmmm"H#!#:$"2/+++++v=#!#;$"1MLLLLL$3#!#:$"2ummmmm"z>!#;$"24+++++](=!#;$"2WLLLLL3x"!#;$"2zmmmmmmm"!#;$"24+++++Dc"!#;$"2WLLLLL$e9!#;$"2ummmmmTN"!#;$"2/++++++D"!#;$"1MLLLL$e9"!#:$"1nmmmmmT5!#:$"%v$*!"%$"0LLLLLLL)!#:$"1hmmmmm"H(!#;$"1'***********\i!#;$"1ELLLLL3_!#;$"2jlmmmmm;%!#<$"1"**********\7$!#;$"2:KLLLLL3#!#<$"2>lmmmm;/"!#<$!20D+%RoNw<!#J$!2uommmm;/"!#<$!1dLLLLL$3#!#;$!1=+++++DJ!#;$!2uommmmm;%!#<$!1dLLLLL3_!#;$!1F+++++]i!#;$!1'pmmmm;H(!#;$!1mLLLLLL$)!#;$!1O+++++v$*!#;7S$"1LLLLLLeR!#:$"2lmmmmmT&Q!#;$"2'************\P!#;$"1LLLLL$ek$!#:$"2lmmmmm;a$!#;$"&vV$!"%$"1LLLLLLLL!#:$"2lmmmmm"HK!#;$"%DJ!"$$"1LLLLL$3-$!#:$"1mmmmmm;H!#:$"2'**********\7G!#;$"1LLLLLL3F!#:$"2lmmmmmTg#!#;$"#D!""$"1LLLLL$eR#!#:$"1nmmmmm"H#!#:$"&v=#!"%$"2NLLLLLL3#!#;$"1nmmmm;z>!#:$"2/+++++](=!#;$"1MLLLL$3x"!#:$"2ummmmmmm"!#;$"24+++++Dc"!#;$"1MLLLLLe9!#:$"2ummmmmTN"!#;$"2/++++++D"!#;$"2NLLLLLe9"!#;$"1nmmmmmT5!#:$"%v$*!"%$"0LLLLLLL)!#:$"1hmmmmm"H(!#;$"1"***********\i!#;$"1ELLLLL3_!#;$"2jlmmmmm;%!#<$"2n)*********\7$!#<$"2:KLLLLL3#!#<$"2>lmmmm;/"!#<$!20D+%RoNw<!#J$!2uommmm;/"!#<$!1dLLLLL$3#!#;$!2m-++++]7$!#<$!2uommmmm;%!#<$!1dLLLLL3_!#;$!1F+++++]i!#;$!1'pmmmm;H(!#;$!1mLLLLLL$)!#;$!1O+++++v$*!#;$!20nmmmm;/"!#;7S$"2lmmmmmT&Q!#;$"$v$!"#$"1LLLLL$ek$!#:$"2lmmmmm;a$!#;$"&vV$!"%$"1LLLLLLLL!#:$"2lmmmmm"HK!#;$"%DJ!"$$"1LLLLL$3-$!#:$"2lmmmmmm"H!#;$"&D"G!"%$"1LLLLLL3F!#:$"2lmmmmmTg#!#;$"#D!""$"2NLLLLLeR#!#;$"1nmmmmm"H#!#:$"&v=#!"%$"1MLLLLL$3#!#:$"1nmmmm;z>!#:$"2/+++++](=!#;$"1MLLLL$3x"!#:$"2ummmmmmm"!#;$"24+++++Dc"!#;$"2WLLLLL$e9!#;$"2ummmmmTN"!#;$"24++++++D"!#;$"1MLLLL$e9"!#:$"1nmmmmmT5!#:$"1/+++++v$*!#;$"1NLLLLLL$)!#;$"1lmmmmm"H(!#;$"1'***********\i!#;$"1ELLLLL3_!#;$"1hmmmmmmT!#;$"1"**********\7$!#;$"2:KLLLLL3#!#<$"2jlmmmm;/"!#<$!2y=]&HwEK8!#J$!1$ommmm;/"!#;$!2ENLLLLL3#!#<$!1A+++++DJ!#;$!1#pmmmmm;%!#;$!1`LLLLL3_!#;$!1A+++++]i!#;$!1#pmmmm;H(!#;$!1hLLLLLL$)!#;$!1J+++++v$*!#;$!0nmmmm;/"!#9$!1PLLLL$e9"!#:7S$"$v$!"#$"2NLLLLLek$!#;$"2lmmmmm;a$!#;$"&vV$!"%$"2NLLLLLLL$!#;$"1nmmmm;HK!#:$"%DJ!"$$"2NLLLLL3-$!#;$"1nmmmmm;H!#:$"&D"G!"%$"1LLLLLL3F!#:$"2lmmmmmTg#!#;$"#D!""$"2NLLLLLeR#!#;$"1nmmmmm"H#!#:$"&v=#!"%$"1MLLLLL$3#!#:$"2smmmmm"z>!#;$"2/+++++](=!#;$"1MLLLL$3x"!#:$"2ummmmmmm"!#;$"24+++++Dc"!#;$"2WLLLLL$e9!#;$"2zmmmmmTN"!#;$"24++++++D"!#;$"2WLLLLLe9"!#;$"2ummmmm;/"!#;$"1/+++++v$*!#;$"1RLLLLLL$)!#;$"0nmmmm;H(!#:$"$D'!"$$"0LLLLL$3_!#:$"1hmmmmmmT!#;$"2c**********\7$!#<$"1ELLLLL$3#!#;$"2jlmmmm;/"!#<$!1_7+(>%y")))!#J$!2&ymmmmmT5!#<$!1[LLLLL$3#!#;$!1=+++++DJ!#;$!2uommmmm;%!#<$!1dLLLLL3_!#;$!1=+++++]i!#;$!1(ommmm;H(!#;$!1dLLLLLL$)!#;$!1F+++++v$*!#;$!2'pmmmmmT5!#;$!2mLLLLLe9"!#;$!2O++++++D"!#;7S$"2NLLLLLek$!#;$"1nmmmmmTN!#:$"&vV$!"%$"2NLLLLLLL$!#;$"1nmmmm;HK!#:$"%DJ!"$$"2NLLLLL3-$!#;$"1nmmmmm;H!#:$"&D"G!"%$"2NLLLLL$3F!#;$"1nmmmm;/E!#:$"#D!""$"2NLLLLLeR#!#;$"1nmmmmm"H#!#:$"2/+++++v=#!#;$"1MLLLLL$3#!#:$"2smmmmm"z>!#;$"22+++++](=!#;$"1MLLLL$3x"!#:$"2ummmmmmm"!#;$"24+++++Dc"!#;$"2WLLLLL$e9!#;$"2zmmmmmTN"!#;$"28++++++D"!#;$"2WLLLLLe9"!#;$"2zmmmmm;/"!#;$"14+++++v$*!#;$"1RLLLLLL$)!#;$"1ummmmm"H(!#;$"1/+++++]i!#;$"1NLLLLL3_!#;$"1lmmmmmmT!#;$"2c**********\7$!#<$"2/LLLLLL3#!#<$"22mmmmm;/"!#<$!1_7+(>%y")))!#J$!1ummmmmT5!#;$!2PMLLLLL3#!#<$!2L,++++]7$!#<$!1$ommmmm;%!#;$!1`LLLLL3_!#;$!1A+++++]i!#;$!1$ommmm;H(!#;$!1`LLLLLL$)!#;$!1A+++++v$*!#;$!2#pmmmmmT5!#;$!2hLLLLLe9"!#;$!1.+++++]7!#:$!0nmmmmTN"!#97S$"1nmmmmmTN!#:$"2/+++++vV$!#;$"2NLLLLLLL$!#;$"1nmmmm;HK!#:$"2/+++++]7$!#;$"1MLLLL$3-$!#:$"1nmmmmm;H!#:$"2/+++++D"G!#;$"1MLLLLL3F!#:$"1nmmmm;/E!#:$"#D!""$"2NLLLLLeR#!#;$"1nmmmmm"H#!#:$"2/+++++v=#!#;$"1MLLLLL$3#!#:$"2smmmmm"z>!#;$"22+++++](=!#;$"2TLLLLL3x"!#;$"2ummmmmmm"!#;$"24+++++Dc"!#;$"2WLLLLL$e9!#;$"2zmmmmmTN"!#;$"28++++++D"!#;$"2[LLLLLe9"!#;$"2zmmmmm;/"!#;$"18+++++v$*!#;$"1WLLLLLL$)!#;$"1ummmmm"H(!#;$"14+++++]i!#;$"1RLLLLL3_!#;$"2'pmmmmmmT!#<$"%DJ!"%$"2/LLLLLL3#!#<$"2_mmmmm;/"!#<$!1E1])4#*3W%!#J$!1ummmmmT5!#;$!2$RLLLLL$3#!#<$!14+++++DJ!#;$!2&ymmmmmmT!#<$!1[LLLLL3_!#;$!1=+++++]i!#;$!1(ommmm;H(!#;$!1[LLLLLL$)!#;$!1=+++++v$*!#;$!2(ommmmmT5!#;$!2dLLLLLe9"!#;$!2F++++++D"!#;$!2'pmmmm;a8!#;$!2mLLLLL$e9!#;7S$"&vV$!"%$"2NLLLLLLL$!#;$"2lmmmmm"HK!#;$"%DJ!"$$"2NLLLLL3-$!#;$"1nmmmmm;H!#:$"&D"G!"%$"2NLLLLL$3F!#;$"1nmmmm;/E!#:$"#D!""$"1LLLLL$eR#!#:$"2lmmmmm;H#!#;$"&v=#!"%$"2NLLLLLL3#!#;$"1nmmmm;z>!#:$"2-+++++](=!#;$"2PLLLLL3x"!#;$"2smmmmmmm"!#;$"2/+++++Dc"!#;$"1MLLLLLe9!#:$"2ummmmmTN"!#;$"24++++++D"!#;$"2WLLLLLe9"!#;$"2zmmmmm;/"!#;$"14+++++v$*!#;$"1WLLLLLL$)!#;$"1ummmmm"H(!#;$"1/+++++]i!#;$"1RLLLLL3_!#;$"2'pmmmmmmT!#<$"%DJ!"%$"2/LLLLLL3#!#<$"22mmmmm;/"!#<$!1E1])4#*3W%!#J$!1ummmmmT5!#;$!2PMLLLLL3#!#<$!14+++++DJ!#;$!2&ymmmmmmT!#<$!1[LLLLL3_!#;$!1=+++++]i!#;$!1(ommmm;H(!#;$!1dLLLLLL$)!#;$!1=+++++v$*!#;$!2(ommmmmT5!#;$!2dLLLLLe9"!#;$!2F++++++D"!#;$!2'pmmmm;a8!#;$!2mLLLLL$e9!#;$!2O+++++Dc"!#;7S$"1MLLLLLLL!#:$"2ummmmm"HK!#;$"2/+++++]7$!#;$"1MLLLL$3-$!#:$"2ummmmmm"H!#;$"1,++++]7G!#:$"1MLLLLL3F!#:$"2ummmmmTg#!#;$"1,++++++D!#:$"1MLLLL$eR#!#:$"1nmmmmm"H#!#:$"2/+++++v=#!#;$"1MLLLLL$3#!#:$"2ummmmm"z>!#;$"24+++++](=!#;$"2TLLLLL3x"!#;$"2wmmmmmmm"!#;$"1,++++]i:!#:$"2WLLLLL$e9!#;$"2zmmmmmTN"!#;$"28++++++D"!#;$"2[LLLLLe9"!#;$"2$ommmmmT5!#;$"1=+++++v$*!#;$"1[LLLLLL$)!#;$"1$ommmm;H(!#;$"18+++++]i!#;$"1WLLLLL3_!#;$"2&ymmmmmmT!#<$"14+++++DJ!#;$"2$RLLLLL$3#!#<$"2'pmmmmmT5!#<$""!!""$!2_mmmmm;/"!#<$!2[LLLLLL3#!#<$!2W+++++]7$!#<$!2'pmmmmmmT!#<$!1RLLLLL3_!#;$!14+++++]i!#;$!1zmmmmm"H(!#;$!1[LLLLLL$)!#;$!1=+++++v$*!#;$!2zmmmmm;/"!#;$!2[LLLLLe9"!#;$!2=++++++D"!#;$!2(ommmm;a8!#;$!2dLLLLL$e9!#;$!2F+++++Dc"!#;$!2'pmmmmmm;!#;7S$"1nmmmm;HK!#:$"2/+++++]7$!#;$"2NLLLLL3-$!#;$"1nmmmmm;H!#:$"2/+++++D"G!#;$"1MLLLLL3F!#:$"1nmmmm;/E!#:$"2/++++++]#!#;$"1MLLLL$eR#!#:$"1nmmmmm"H#!#:$"&v=#!"%$"2NLLLLLL3#!#;$"1nmmmm;z>!#:$"2/+++++](=!#;$"1MLLLL$3x"!#:$"2smmmmmmm"!#;$"22+++++Dc"!#;$"2TLLLLL$e9!#;$"2ummmmmTN"!#;$"24++++++D"!#;$"2WLLLLLe9"!#;$"2zmmmmm;/"!#;$"18+++++v$*!#;$"1[LLLLLL$)!#;$"1zmmmmm"H(!#;$"18+++++]i!#;$"1WLLLLL3_!#;$"1ummmmmmT!#;$"14+++++DJ!#;$"2$RLLLLL$3#!#<$"2'pmmmmmT5!#<$""!!""$!2'pmmmmmT5!#<$!2[LLLLLL3#!#<$!2W+++++]7$!#<$!1ummmmmmT!#;$!1RLLLLL3_!#;$!14+++++]i!#;$!1zmmmmm"H(!#;$!1[LLLLLL$)!#;$!1=+++++v$*!#;$!2(ommmmmT5!#;$!2[LLLLLe9"!#;$!2=++++++D"!#;$!2(ommmm;a8!#;$!2dLLLLL$e9!#;$!2F+++++Dc"!#;$!2'pmmmmmm;!#;$!2mLLLLL3x"!#;7S$"2/+++++]7$!#;$"1MLLLL$3-$!#:$"1nmmmmm;H!#:$"2/+++++D"G!#;$"1MLLLLL3F!#:$"1nmmmm;/E!#:$"2/++++++]#!#;$"1MLLLL$eR#!#:$"1nmmmmm"H#!#:$"2/+++++v=#!#;$"1MLLLLL$3#!#:$"1nmmmm;z>!#:$"2/+++++](=!#;$"1MLLLL$3x"!#:$"2ummmmmmm"!#;$"22+++++Dc"!#;$"2TLLLLL$e9!#;$"2wmmmmmTN"!#;$"24++++++D"!#;$"2WLLLLLe9"!#;$"2zmmmmm;/"!#;$"18+++++v$*!#;$"1[LLLLLL$)!#;$"1$ommmm;H(!#;$"18+++++]i!#;$"1[LLLLL3_!#;$"2&ymmmmmmT!#<$"14+++++DJ!#;$"2PMLLLLL3#!#<$"1ummmmmT5!#;$"1E1])4#*3W%!#J$!2_mmmmm;/"!#<$!2[LLLLLL3#!#<$!%DJ!"%$!2'pmmmmmmT!#<$!1RLLLLL3_!#;$!1/+++++]i!#;$!1ummmmm"H(!#;$!1WLLLLLL$)!#;$!18+++++v$*!#;$!2$ommmmmT5!#;$!2`LLLLLe9"!#;$!28++++++D"!#;$!2$ommmm;a8!#;$!2`LLLLL$e9!#;$!2A+++++Dc"!#;$!2#pmmmmmm;!#;$!2hLLLLL3x"!#;$!1.+++++v=!#:7S$"1MLLLL$3-$!#:$"2ummmmmm"H!#;$"2/+++++D"G!#;$"1MLLLLL3F!#:$"2ummmmmTg#!#;$"1,++++++D!#:$"1MLLLL$eR#!#:$"2ummmmm;H#!#;$"1,++++](=#!#:$"1MLLLLL$3#!#:$"2smmmmm"z>!#;$"2/+++++](=!#;$"1MLLLL$3x"!#:$"2ummmmmmm"!#;$"24+++++Dc"!#;$"2TLLLLL$e9!#;$"2wmmmmmTN"!#;$"1,+++++]7!#:$"2WLLLLLe9"!#;$"2zmmmmm;/"!#;$"18+++++v$*!#;$"1[LLLLLL$)!#;$"1$ommmm;H(!#;$"1=+++++]i!#;$"1[LLLLL3_!#;$"1$ommmmm;%!#;$"2L,++++]7$!#<$"2PMLLLLL3#!#<$"2&ymmmmmT5!#<$"1_7+(>%y")))!#J$!22mmmmm;/"!#<$!2/LLLLLL3#!#<$!%DJ!"%$!1lmmmmmmT!#;$!1NLLLLL3_!#;$!1/+++++]i!#;$!0nmmmm;H(!#:$!1RLLLLLL$)!#;$!14+++++v$*!#;$!2zmmmmm;/"!#;$!2[LLLLLe9"!#;$!2=++++++D"!#;$!2zmmmmmTN"!#;$!2[LLLLL$e9!#;$!2=+++++Dc"!#;$!2(ommmmmm;!#;$!2dLLLLL3x"!#;$!2F+++++](=!#;$!2'pmmmm;z>!#;7S$"2ummmmmm"H!#;$"1,++++]7G!#:$"1MLLLLL3F!#:$"2ummmmmTg#!#;$"1,++++++D!#:$"1MLLLL$eR#!#:$"2ummmmm;H#!#;$"1,++++](=#!#:$"1MLLLLL$3#!#:$"2ummmmm"z>!#;$"22+++++](=!#;$"1MLLLL$3x"!#:$"2ummmmmmm"!#;$"24+++++Dc"!#;$"2WLLLLL$e9!#;$"2wmmmmmTN"!#;$"1,+++++]7!#:$"2YLLLLLe9"!#;$"2zmmmmm;/"!#;$"18+++++v$*!#;$"1[LLLLLL$)!#;$"1$ommmm;H(!#;$"1=+++++]i!#;$"1`LLLLL3_!#;$"1$ommmmm;%!#;$"1=+++++DJ!#;$"1[LLLLL$3#!#;$"2&ymmmmmT5!#<$"2y=]&HwEK8!#J$!2jlmmmm;/"!#<$!1ELLLLL$3#!#;$!2c**********\7$!#<$!1lmmmmmmT!#;$!0LLLLL$3_!#:$!$D'!"$$!0nmmmm;H(!#:$!1NLLLLLL$)!#;$!1/+++++v$*!#;$!2ummmmm;/"!#;$!2WLLLLLe9"!#;$!28++++++D"!#;$!2$ommmm;a8!#;$!2WLLLLL$e9!#;$!28+++++Dc"!#;$!2$ommmmmm;!#;$!2`LLLLL3x"!#;$!2A+++++](=!#;$!2#pmmmm;z>!#;$!1OLLLLL$3#!#:7S$"1,++++]7G!#:$"2WLLLLL$3F!#;$"2ummmmmTg#!#;$"1,++++++D!#:$"2WLLLLLeR#!#;$"1ommmmm"H#!#:$"1,++++](=#!#:$"2WLLLLLL3#!#;$"2wmmmmm"z>!#;$"24+++++](=!#;$"2TLLLLL3x"!#;$"2ummmmmmm"!#;$"24+++++Dc"!#;$"2WLLLLL$e9!#;$"2zmmmmmTN"!#;$"1,+++++]7!#:$"2YLLLLLe9"!#;$"1ommmmmT5!#:$"18+++++v$*!#;$"1[LLLLLL$)!#;$"1$ommmm;H(!#;$"1=+++++]i!#;$"1`LLLLL3_!#;$"2uommmmm;%!#<$"1=+++++DJ!#;$"2ENLLLLL3#!#<$"1$ommmm;/"!#;$"2y=]&HwEK8!#J$!2>lmmmm;/"!#<$!2:KLLLLL3#!#<$!1"**********\7$!#;$!1hmmmmmmT!#;$!0LLLLL$3_!#:$!1'***********\i!#;$!1lmmmmm"H(!#;$!1NLLLLLL$)!#;$!%v$*!"%$!1nmmmmmT5!#:$!1MLLLL$e9"!#:$!24++++++D"!#;$!2zmmmmmTN"!#;$!2[LLLLL$e9!#;$!24+++++Dc"!#;$!2zmmmmmmm"!#;$!2[LLLLL3x"!#;$!2=+++++](=!#;$!2(ommmm;z>!#;$!2dLLLLLL3#!#;$!2F+++++v=#!#;7S$"2WLLLLL$3F!#;$"1ommmm;/E!#:$"1,++++++D!#:$"2WLLLLLeR#!#;$"1ommmmm"H#!#:$"1,++++](=#!#:$"2WLLLLLL3#!#;$"2zmmmmm"z>!#;$"1,+++++v=!#:$"2WLLLLL3x"!#;$"2wmmmmmmm"!#;$"24+++++Dc"!#;$"2WLLLLL$e9!#;$"2zmmmmmTN"!#;$"28++++++D"!#;$"2YLLLLLe9"!#;$"1ommmmmT5!#:$"1;+++++v$*!#;$"1[LLLLLL$)!#;$"1$ommmm;H(!#;$"1=+++++]i!#;$"1`LLLLL3_!#;$"2uommmmm;%!#<$"1A+++++DJ!#;$"2ENLLLLL3#!#<$"2uommmm;/"!#<$"20D+%RoNw<!#J$!2>lmmmm;/"!#<$!1<LLLLL$3#!#;$!2n)*********\7$!#<$!2jlmmmmm;%!#<$!1ELLLLL3_!#;$!1'***********\i!#;$!1hmmmmm"H(!#;$!0LLLLLLL)!#:$!%v$*!"%$!2lmmmmm;/"!#;$!2NLLLLLe9"!#;$!2/++++++D"!#;$!2ummmmmTN"!#;$!2WLLLLL$e9!#;$!28+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!28+++++](=!#;$!2$ommmm;z>!#;$!2`LLLLLL3#!#;$!1-++++](=#!#:$!1pmmmmm"H#!#:7S$"1ommmm;/E!#:$"28++++++]#!#;$"2WLLLLLeR#!#;$"1ommmmm"H#!#:$"28+++++v=#!#;$"1NLLLLL$3#!#:$"2zmmmmm"z>!#;$"28+++++](=!#;$"2YLLLLL3x"!#;$"2zmmmmmmm"!#;$"1,++++]i:!#:$"2WLLLLL$e9!#;$"2zmmmmmTN"!#;$"28++++++D"!#;$"2[LLLLLe9"!#;$"1ommmmmT5!#:$"1;+++++v$*!#;$"0NLLLLLL)!#:$"1$ommmm;H(!#;$"1=+++++]i!#;$"1`LLLLL3_!#;$"2uommmmm;%!#<$"1A+++++DJ!#;$"1dLLLLL$3#!#;$"2uommmm;/"!#<$"18.D\gW?A!#I$!2ukmmmm;/"!#<$!1<LLLLL$3#!#;$!1#)*********\7$!#;$!1_mmmmmmT!#;$!1@LLLLL3_!#;$!1"***********\i!#;$!1hmmmmm"H(!#;$!1ELLLLLL$)!#;$!1'**********\P*!#;$!2lmmmmm;/"!#;$!1LLLLL$e9"!#:$!$D"!"#$!1nmmmm;a8!#:$!1MLLLLLe9!#:$!24+++++Dc"!#;$!2zmmmmmmm"!#;$!1MLLLL$3x"!#:$!24+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2dLLLLLeR#!#;7S$"1,++++++D!#:$"2WLLLLLeR#!#;$"2ummmmm;H#!#;$"1,++++](=#!#:$"2WLLLLLL3#!#;$"2wmmmmm"z>!#;$"24+++++](=!#;$"2WLLLLL3x"!#;$"2wmmmmmmm"!#;$"24+++++Dc"!#;$"2TLLLLL$e9!#;$"2ummmmmTN"!#;$"24++++++D"!#;$"2WLLLLLe9"!#;$"2zmmmmm;/"!#;$"16+++++v$*!#;$"1YLLLLLL$)!#;$"1"ommmm;H(!#;$"18+++++]i!#;$"1[LLLLL3_!#;$"1$ommmmm;%!#;$"1=+++++DJ!#;$"2ENLLLLL3#!#<$"2uommmm;/"!#<$"20D+%RoNw<!#J$!2ukmmmm;/"!#<$!1<LLLLL$3#!#;$!2n)*********\7$!#<$!1_mmmmmmT!#;$!1@LLLLL3_!#;$!1"***********\i!#;$!1hmmmmm"H(!#;$!0LLLLLLL)!#:$!1'**********\P*!#;$!2lmmmmm;/"!#;$!2NLLLLLe9"!#;$!$D"!"#$!1nmmmm;a8!#:$!1MLLLLLe9!#:$!24+++++Dc"!#;$!2zmmmmmmm"!#;$!2[LLLLL3x"!#;$!24+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2dLLLLLeR#!#;$!2F++++++]#!#;7S$"2WLLLLLeR#!#;$"1ommmmm"H#!#:$"1,++++](=#!#:$"2WLLLLLL3#!#;$"2zmmmmm"z>!#;$"1,+++++v=!#:$"2WLLLLL3x"!#;$"2zmmmmmmm"!#;$"1,++++]i:!#:$"2WLLLLL$e9!#;$"2wmmmmmTN"!#;$"24++++++D"!#;$"2WLLLLLe9"!#;$"2zmmmmm;/"!#;$"18+++++v$*!#;$"1YLLLLLL$)!#;$"1"ommmm;H(!#;$"1;+++++]i!#;$"1[LLLLL3_!#;$"1$ommmmm;%!#;$"1=+++++DJ!#;$"2ENLLLLL3#!#<$"2uommmm;/"!#<$"18.D\gW?A!#I$!2ukmmmm;/"!#<$!2EJLLLLL3#!#<$!1#)*********\7$!#;$!1_mmmmmmT!#;$!1<LLLLL3_!#;$!1()**********\i!#;$!1cmmmmm"H(!#;$!1ELLLLLL$)!#;$!1'**********\P*!#;$!1mmmmmmT5!#:$!1LLLLL$e9"!#:$!$D"!"#$!2lmmmmmTN"!#;$!2NLLLLL$e9!#;$!2/+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!28+++++](=!#;$!2ummmmm"z>!#;$!2WLLLLLL3#!#;$!28+++++v=#!#;$!2$ommmmm"H#!#;$!2`LLLLLeR#!#;$!1-++++++D!#:$!1pmmmm;/E!#:7S$"2ummmmm;H#!#;$"1,++++](=#!#:$"1MLLLLL$3#!#:$"2ummmmm"z>!#;$"24+++++](=!#;$"2TLLLLL3x"!#;$"2ummmmmmm"!#;$"24+++++Dc"!#;$"2TLLLLL$e9!#;$"2ummmmmTN"!#;$"22++++++D"!#;$"1MLLLL$e9"!#:$"2ummmmm;/"!#;$"14+++++v$*!#;$"1WLLLLLL$)!#;$"1wmmmmm"H(!#;$"16+++++]i!#;$"1YLLLLL3_!#;$"2&ymmmmmmT!#<$"2L,++++]7$!#<$"1[LLLLL$3#!#;$"1$ommmm;/"!#;$"20D+%RoNw<!#J$!2ukmmmm;/"!#<$!1<LLLLL$3#!#;$!1#)*********\7$!#;$!1_mmmmmmT!#;$!1@LLLLL3_!#;$!1()**********\i!#;$!1cmmmmm"H(!#;$!1ELLLLLL$)!#;$!1'**********\P*!#;$!2lmmmmm;/"!#;$!1LLLLL$e9"!#:$!$D"!"#$!1nmmmm;a8!#:$!2NLLLLL$e9!#;$!2/+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!28+++++](=!#;$!2$ommmm;z>!#;$!2WLLLLLL3#!#;$!28+++++v=#!#;$!2$ommmmm"H#!#;$!2`LLLLLeR#!#;$!1-++++++D!#:$!1pmmmm;/E!#:$!1OLLLLL3F!#:7S$"2/+++++v=#!#;$"1MLLLLL$3#!#:$"2smmmmm"z>!#;$"2/+++++](=!#;$"1MLLLL$3x"!#:$"2smmmmmmm"!#;$"2/+++++Dc"!#;$"1MLLLLLe9!#:$"2smmmmmTN"!#;$"2/++++++D"!#;$"2PLLLLLe9"!#;$"1nmmmmmT5!#:$"1/+++++v$*!#;$"1RLLLLLL$)!#;$"1ummmmm"H(!#;$"12+++++]i!#;$"1TLLLLL3_!#;$"2jnmmmmm;%!#<$"14+++++DJ!#;$"2PMLLLLL3#!#<$"2&ymmmmmT5!#<$"2y=]&HwEK8!#J$!2>lmmmm;/"!#<$!1<LLLLL$3#!#;$!2n)*********\7$!#<$!1_mmmmmmT!#;$!1@LLLLL3_!#;$!1"***********\i!#;$!1cmmmmm"H(!#;$!1ELLLLLL$)!#;$!1'**********\P*!#;$!2lmmmmm;/"!#;$!2NLLLLLe9"!#;$!$D"!"#$!1nmmmm;a8!#:$!1MLLLLLe9!#:$!2/+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!28+++++](=!#;$!2$ommmm;z>!#;$!2`LLLLLL3#!#;$!28+++++v=#!#;$!2$ommmmm"H#!#;$!2`LLLLLeR#!#;$!1-++++++D!#:$!1pmmmm;/E!#:$!1OLLLLL3F!#:$!1.++++]7G!#:7S$"1MLLLLL$3#!#:$"2smmmmm"z>!#;$"22+++++](=!#;$"1MLLLL$3x"!#:$"2ummmmmmm"!#;$"22+++++Dc"!#;$"1MLLLLLe9!#:$"2ummmmmTN"!#;$"22++++++D"!#;$"1MLLLL$e9"!#:$"2smmmmm;/"!#;$"1/+++++v$*!#;$"1RLLLLLL$)!#;$"1ummmmm"H(!#;$"14+++++]i!#;$"1TLLLLL3_!#;$"2jnmmmmm;%!#<$"16+++++DJ!#;$"2PMLLLLL3#!#<$"2&ymmmmmT5!#<$"2y=]&HwEK8!#J$!2>lmmmm;/"!#<$!1<LLLLL$3#!#;$!1#)*********\7$!#;$!1_mmmmmmT!#;$!1<LLLLL3_!#;$!1()**********\i!#;$!1cmmmmm"H(!#;$!1@LLLLLL$)!#;$!1"**********\P*!#;$!1mmmmmmT5!#:$!1LLLLL$e9"!#:$!$D"!"#$!2lmmmmmTN"!#;$!2NLLLLL$e9!#;$!2/+++++Dc"!#;$!1nmmmmmm;!#:$!1MLLLL$3x"!#:$!24+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!1ommmmm"H#!#:$!1NLLLL$eR#!#:$!2=++++++]#!#;$!2(ommmm;/E!#;$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;7S$"1nmmmm;z>!#:$"2-+++++](=!#;$"2PLLLLL3x"!#;$"1nmmmmmm;!#:$"2/+++++Dc"!#;$"2PLLLLL$e9!#;$"1nmmmm;a8!#:$"2/++++++D"!#;$"2PLLLLLe9"!#;$"1nmmmmmT5!#:$"1-+++++v$*!#;$"1NLLLLLL$)!#;$"0nmmmm;H(!#:$"1/+++++]i!#;$"1RLLLLL3_!#;$"1smmmmmmT!#;$"2n+++++]7$!#<$"2:MLLLLL3#!#<$"1ummmmmT5!#;$"1_7+(>%y")))!#J$!2jlmmmm;/"!#<$!2:KLLLLL3#!#<$!2n)*********\7$!#<$!1_mmmmmmT!#;$!1@LLLLL3_!#;$!1()**********\i!#;$!1cmmmmm"H(!#;$!1ELLLLLL$)!#;$!1"**********\P*!#;$!1mmmmmmT5!#:$!1LLLLL$e9"!#:$!$D"!"#$!1nmmmm;a8!#:$!2NLLLLL$e9!#;$!2/+++++Dc"!#;$!2ummmmmmm"!#;$!1MLLLL$3x"!#:$!24+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!1NLLLL$eR#!#:$!2=++++++]#!#;$!2(ommmm;/E!#;$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;7S$"%v=!"$$"2LLLLLL3x"!#;$"2nmmmmmmm"!#;$"&Dc"!"%$"2NLLLLL$e9!#;$"2nmmmmmTN"!#;$"$D"!"#$"2NLLLLLe9"!#;$"2nmmmmm;/"!#;$"%v$*!"%$"1LLLLLLL$)!#;$"1lmmmmm"H(!#;$"$D'!"$$"1NLLLLL3_!#;$"2'pmmmmmmT!#<$"1-+++++DJ!#;$"1PLLLLL$3#!#;$"2=nmmmm;/"!#<$"1E1])4#*3W%!#J$!22mmmmm;/"!#<$!1ELLLLL$3#!#;$!1"**********\7$!#;$!2jlmmmmm;%!#<$!1@LLLLL3_!#;$!1"***********\i!#;$!1cmmmmm"H(!#;$!1ELLLLLL$)!#;$!1'**********\P*!#;$!1mmmmmmT5!#:$!1LLLLL$e9"!#:$!$D"!"#$!1nmmmm;a8!#:$!1MLLLLLe9!#:$!2/+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!24+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2dLLLLLeR#!#;$!2=++++++]#!#;$!2(ommmm;/E!#;$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2O+++++]7$!#;7S$"1LLLLL$3x"!#:$"2jmmmmmmm"!#;$"2)**********\i:!#;$"1LLLLLLe9!#:$"2lmmmmmTN"!#;$"2)************\7!#;$"1LLLLL$e9"!#:$"2lmmmmm;/"!#;$"1)**********\P*!#;$"0LLLLLLL)!#:$"1jmmmmm"H(!#;$"1'***********\i!#;$"0LLLLL$3_!#:$"1lmmmmmmT!#;$"%DJ!"%$"2ELLLLLL3#!#<$"2ummmmm;/"!#<$"18.D\gW?A!#J$!2_mmmmm;/"!#<$!2/LLLLLL3#!#<$!2c**********\7$!#<$!1hmmmmmmT!#;$!1ELLLLL3_!#;$!1"***********\i!#;$!1hmmmmm"H(!#;$!1ELLLLLL$)!#;$!1'**********\P*!#;$!2lmmmmm;/"!#;$!1LLLLL$e9"!#:$!$D"!"#$!1nmmmm;a8!#:$!1MLLLLLe9!#:$!24+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!28+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2dLLLLLeR#!#;$!2F++++++]#!#;$!2(ommmm;/E!#;$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2O+++++]7$!#;$!20nmmmm"HK!#;7S$"1mmmmmmm;!#:$"2$**********\i:!#;$"2GLLLLL$e9!#;$"1mmmmm;a8!#:$"2'************\7!#;$"2GLLLLLe9"!#;$"1mmmmmmT5!#:$"1'**********\P*!#;$"1GLLLLLL$)!#;$"1hmmmmm"H(!#;$"1$***********\i!#;$"1ELLLLL3_!#;$"1hmmmmmmT!#;$"2c**********\7$!#<$"2/LLLLLL3#!#<$"1jmmmmmT5!#;$!18.D\gW?A!#J$!2ummmmm;/"!#<$!2[LLLLLL3#!#<$!%DJ!"%$!1lmmmmmmT!#;$!0LLLLL$3_!#:$!1'***********\i!#;$!1hmmmmm"H(!#;$!0LLLLLLL)!#:$!1'**********\P*!#;$!2lmmmmm;/"!#;$!2NLLLLLe9"!#;$!$D"!"#$!1nmmmm;a8!#:$!1MLLLLLe9!#:$!24+++++Dc"!#;$!2zmmmmmmm"!#;$!2WLLLLL3x"!#;$!28+++++](=!#;$!2$ommmm;z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2dLLLLLeR#!#;$!2F++++++]#!#;$!2'pmmmm;/E!#;$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2O+++++]7$!#;$!20nmmmm"HK!#;$!2vLLLLLLL$!#;7S$"2'**********\i:!#;$"2GLLLLL$e9!#;$"2jmmmmmTN"!#;$"2'************\7!#;$"1LLLLL$e9"!#:$"2jmmmmm;/"!#;$"1(**********\P*!#;$"0LLLLLLL)!#:$"1jmmmmm"H(!#;$"1'***********\i!#;$"1GLLLLL3_!#;$"1hmmmmmmT!#;$"2c**********\7$!#<$"2/LLLLLL3#!#<$"2_mmmmm;/"!#<$!18.D\gW?A!#J$!2ummmmm;/"!#<$!2ELLLLLL3#!#<$!%DJ!"%$!1lmmmmmmT!#;$!0LLLLL$3_!#:$!1'***********\i!#;$!1hmmmmm"H(!#;$!1ELLLLLL$)!#;$!1'**********\P*!#;$!1mmmmmmT5!#:$!1LLLLL$e9"!#:$!$D"!"#$!2lmmmmmTN"!#;$!2NLLLLL$e9!#;$!2/+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!24+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!28+++++v=#!#;$!2$ommmmm"H#!#;$!2`LLLLLeR#!#;$!1-++++++D!#:$!1pmmmm;/E!#:$!1OLLLLL3F!#:$!1-++++]7G!#:$!1pmmmmm;H!#:$!1OLLLL$3-$!#:$!1.+++++DJ!#:$!0nmmmm"HK!#9$!1PLLLLLLL!#:$!1/++++]PM!#:7S$"2ELLLLL$e9!#;$"2fmmmmmTN"!#;$"2$************\7!#;$"2ELLLLLe9"!#;$"1mmmmmmT5!#:$"1$**********\P*!#;$"1FLLLLLL$)!#;$"1hmmmmm"H(!#;$"1$***********\i!#;$"1ELLLLL3_!#;$"2&emmmmmmT!#<$"1"**********\7$!#;$"1ELLLLL$3#!#;$"22mmmmm;/"!#<$!1E1])4#*3W%!#J$!2=nmmmm;/"!#<$!1PLLLLL$3#!#;$!1-+++++DJ!#;$!2'pmmmmmmT!#<$!1NLLLLL3_!#;$!$D'!"$$!1lmmmmm"H(!#;$!0LLLLLLL)!#:$!1'**********\P*!#;$!2lmmmmm;/"!#;$!1LLLLL$e9"!#:$!$D"!"#$!1nmmmm;a8!#:$!2NLLLLL$e9!#;$!2/+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!28+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2$ommmmm"H#!#;$!2`LLLLLeR#!#;$!1-++++++D!#:$!1pmmmm;/E!#:$!1OLLLLL3F!#:$!1.++++]7G!#:$!1pmmmmm;H!#:$!1OLLLL$3-$!#:$!1.+++++DJ!#:$!0nmmmm"HK!#9$!1PLLLLLLL!#:$!1/++++]PM!#:$!1rmmmmmTN!#:7S$"2cmmmmmTN"!#;$"1************\7!#:$"2CLLLLLe9"!#;$"2cmmmmm;/"!#;$"0**********\P*!#:$"1CLLLLLL$)!#;$"1dmmmmm"H(!#;$"1"***********\i!#;$"1CLLLLL3_!#;$"2jlmmmmm;%!#<$"1*)*********\7$!#;$"2:KLLLLL3#!#<$"2jlmmmm;/"!#<$!1_7+(>%y")))!#J$!1ummmmmT5!#;$!2:MLLLLL3#!#<$!2n+++++]7$!#<$!1smmmmmmT!#;$!1RLLLLL3_!#;$!1/+++++]i!#;$!0nmmmm;H(!#:$!1NLLLLLL$)!#;$!%v$*!"%$!2lmmmmm;/"!#;$!2NLLLLLe9"!#;$!$D"!"#$!1nmmmm;a8!#:$!1MLLLLLe9!#:$!2/+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!28+++++](=!#;$!2$ommmm;z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2`LLLLLeR#!#;$!1-++++++D!#:$!1pmmmm;/E!#:$!1OLLLLL3F!#:$!1.++++]7G!#:$!0nmmmmm"H!#9$!1OLLLL$3-$!#:$!1.+++++DJ!#:$!0nmmmm"HK!#9$!1PLLLLLLL!#:$!1/++++]PM!#:$!1rmmmmmTN!#:$!1QLLLL$ek$!#:7S$"2"************\7!#;$"2CLLLLLe9"!#;$"2fmmmmm;/"!#;$"1"**********\P*!#;$"1DLLLLLL$)!#;$"1fmmmmm"H(!#;$"1#***********\i!#;$"1ELLLLL3_!#;$"2&emmmmmmT!#<$"1"**********\7$!#;$"2PKLLLLL3#!#<$"2jlmmmm;/"!#<$!1_7+(>%y")))!#J$!1ummmmmT5!#;$!2$RLLLLL$3#!#<$!2n+++++]7$!#<$!1smmmmmmT!#;$!1PLLLLL3_!#;$!1/+++++]i!#;$!0nmmmm;H(!#:$!1NLLLLLL$)!#;$!%v$*!"%$!2lmmmmm;/"!#;$!1LLLLL$e9"!#:$!$D"!"#$!2lmmmmmTN"!#;$!2NLLLLL$e9!#;$!2/+++++Dc"!#;$!1nmmmmmm;!#:$!1MLLLL$3x"!#:$!24+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!28+++++v=#!#;$!2$ommmmm"H#!#;$!2`LLLLLeR#!#;$!2=++++++]#!#;$!2(ommmm;/E!#;$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2F+++++]7$!#;$!2'pmmmm;HK!#;$!2mLLLLLLL$!#;$!2O+++++vV$!#;$!20nmmmm;a$!#;$!2vLLLLLek$!#;$!2W++++++v$!#;7S$"2@LLLLLe9"!#;$"2ammmmm;/"!#;$"1*)*********\P*!#;$"1@LLLLLL$)!#;$"1bmmmmm"H(!#;$"1*)**********\i!#;$"1BLLLLL3_!#;$"2jlmmmmm;%!#<$"1*)*********\7$!#;$"2:KLLLLL3#!#<$"2Tlmmmm;/"!#<$!2y=]&HwEK8!#J$!2&ymmmmmT5!#<$!2PMLLLLL3#!#<$!14+++++DJ!#;$!2jnmmmmm;%!#<$!1TLLLLL3_!#;$!12+++++]i!#;$!1ummmmm"H(!#;$!1RLLLLLL$)!#;$!1/+++++v$*!#;$!1nmmmmmT5!#:$!2NLLLLLe9"!#;$!$D"!"#$!1nmmmm;a8!#:$!2NLLLLL$e9!#;$!2/+++++Dc"!#;$!2ummmmmmm"!#;$!1MLLLL$3x"!#:$!24+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2$ommmmm"H#!#;$!2`LLLLLeR#!#;$!1-++++++D!#:$!2(ommmm;/E!#;$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2O+++++]7$!#;$!2'pmmmm;HK!#;$!2mLLLLLLL$!#;$!2O+++++vV$!#;$!20nmmmm;a$!#;$!2vLLLLLek$!#;$!2W++++++v$!#;$!29nmmmmT&Q!#;7S$"2_mmmmm;/"!#;$"1')*********\P*!#;$"1>LLLLLL$)!#;$"1_mmmmm"H(!#;$"1')**********\i!#;$"1>LLLLL3_!#;$"1`mmmmmmT!#;$"2n)*********\7$!#<$"2$>LLLLL$3#!#<$"2>lmmmm;/"!#<$!2#>_ZMAJa:!#J$!1$ommmm;/"!#;$!1[LLLLL$3#!#;$!2L,++++]7$!#<$!2&ymmmmmmT!#<$!1YLLLLL3_!#;$!16+++++]i!#;$!1wmmmmm"H(!#;$!1WLLLLLL$)!#;$!14+++++v$*!#;$!2ummmmm;/"!#;$!1MLLLL$e9"!#:$!2/++++++D"!#;$!1nmmmm;a8!#:$!1MLLLLLe9!#:$!2/+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!24+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2`LLLLLeR#!#;$!1-++++++D!#:$!1pmmmm;/E!#:$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2O+++++]7$!#;$!20nmmmm"HK!#;$!2mLLLLLLL$!#;$!2O+++++vV$!#;$!20nmmmm;a$!#;$!2vLLLLLek$!#;$!2W++++++v$!#;$!29nmmmmT&Q!#;$!2%QLLLLLeR!#;7S$"1#)*********\P*!#;$"1;LLLLLL$)!#;$"0lmmmm;H(!#:$"1#)**********\i!#;$"1;LLLLL3_!#;$"2'\mmmmmmT!#<$"2L)*********\7$!#<$"1<LLLLL$3#!#;$"2'\mmmmmT5!#<$!20D+%RoNw<!#J$!2_ommmm;/"!#<$!2ENLLLLL3#!#<$!1=+++++DJ!#;$!1$ommmmm;%!#;$!1[LLLLL3_!#;$!1;+++++]i!#;$!1"ommmm;H(!#;$!1YLLLLLL$)!#;$!18+++++v$*!#;$!2zmmmmm;/"!#;$!2WLLLLLe9"!#;$!24++++++D"!#;$!2ummmmmTN"!#;$!1MLLLLLe9!#:$!24+++++Dc"!#;$!2ummmmmmm"!#;$!2WLLLLL3x"!#;$!28+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2dLLLLLeR#!#;$!1-++++++D!#:$!1pmmmm;/E!#:$!1OLLLLL3F!#:$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2O+++++]7$!#;$!20nmmmm"HK!#;$!2vLLLLLLL$!#;$!2O+++++vV$!#;$!20nmmmm;a$!#;$!2vLLLLLek$!#;$!2W++++++v$!#;$!29nmmmmT&Q!#;$!2%QLLLLLeR!#;$!10++++]iS!#:7S$"18LLLLLL$)!#;$"1Ymmmmm"H(!#;$"0)**********\i!#:$"18LLLLL3_!#;$"2jkmmmmm;%!#<$"0)*********\7$!#:$"2PJLLLLL3#!#<$"2ukmmmm;/"!#<$!2=GDVW,%)*>!#J$!2uommmm;/"!#<$!2[NLLLLL3#!#<$!1A+++++DJ!#;$!2uommmmm;%!#<$!1`LLLLL3_!#;$!1=+++++]i!#;$!1&ommmm;H(!#;$!0NLLLLLL)!#:$!1;+++++v$*!#;$!2$ommmmmT5!#;$!2[LLLLLe9"!#;$!28++++++D"!#;$!2zmmmmmTN"!#;$!2WLLLLL$e9!#;$!24+++++Dc"!#;$!2zmmmmmmm"!#;$!2WLLLLL3x"!#;$!28+++++](=!#;$!2$ommmm;z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2dLLLLLeR#!#;$!2F++++++]#!#;$!1pmmmm;/E!#:$!1OLLLLL3F!#:$!1.++++]7G!#:$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2O+++++]7$!#;$!20nmmmm"HK!#;$!2vLLLLLLL$!#;$!2W+++++vV$!#;$!20nmmmm;a$!#;$!2vLLLLLek$!#;$!2W++++++v$!#;$!29nmmmmT&Q!#;$!2%QLLLLLeR!#;$!10++++]iS!#:$!1smmmmmmT!#:7S$"1Vmmmmm"H(!#;$"1x**********\i!#;$"0JLLLL$3_!#:$"1VmmmmmmT!#;$"2n(*********\7$!#<$"2/JLLLLL3#!#<$"2Tkmmmm;/"!#<$!18.D\gW?A!#I$!2'*ommmm;/"!#<$!1dLLLLL$3#!#;$!2W-++++]7$!#<$!1#pmmmmm;%!#;$!1dLLLLL3_!#;$!1A+++++]i!#;$!1(ommmm;H(!#;$!1bLLLLLL$)!#;$!0-++++]P*!#:$!2&ommmmmT5!#;$!2`LLLLLe9"!#;$!2=++++++D"!#;$!2$ommmm;a8!#;$!2[LLLLL$e9!#;$!28+++++Dc"!#;$!2zmmmmmmm"!#;$!2[LLLLL3x"!#;$!28+++++](=!#;$!2$ommmm;z>!#;$!2`LLLLLL3#!#;$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2dLLLLLeR#!#;$!2F++++++]#!#;$!2'pmmmm;/E!#;$!1OLLLLL3F!#:$!1.++++]7G!#:$!0nmmmmm"H!#9$!2mLLLLL3-$!#;$!2O+++++]7$!#;$!20nmmmm"HK!#;$!2vLLLLLLL$!#;$!2W+++++vV$!#;$!29nmmmm;a$!#;$!2vLLLLLek$!#;$!2W++++++v$!#;$!29nmmmmT&Q!#;$!2%QLLLLLeR!#;$!10++++]iS!#:$!1smmmmmmT!#:$!1RLLLL$3F%!#:7S$"1#)**********\i!#;$"1;LLLLL3_!#;$"1\mmmmmmT!#;$"1#)*********\7$!#;$"1;LLLLL$3#!#;$"2'\mmmmmT5!#<$!2[tPp`M`m"!#J$!1$ommmm;/"!#;$!2/NLLLLL3#!#<$!1=+++++DJ!#;$!1&ommmmm;%!#;$!1`LLLLL3_!#;$!1=+++++]i!#;$!1$ommmm;H(!#;$!1[LLLLLL$)!#;$!1;+++++v$*!#;$!1ommmmmT5!#:$!2YLLLLLe9"!#;$!28++++++D"!#;$!2zmmmmmTN"!#;$!2WLLLLL$e9!#;$!24+++++Dc"!#;$!2ummmmmmm"!#;$!1MLLLL$3x"!#:$!24+++++](=!#;$!2ummmmm"z>!#;$!2WLLLLLL3#!#;$!28+++++v=#!#;$!1ommmmm"H#!#:$!1NLLLL$eR#!#:$!2=++++++]#!#;$!2(ommmm;/E!#;$!2dLLLLL$3F!#;$!1-++++]7G!#:$!1pmmmmm;H!#:$!1OLLLL$3-$!#:$!2F+++++]7$!#;$!2'pmmmm;HK!#;$!2mLLLLLLL$!#;$!2O+++++vV$!#;$!20nmmmm;a$!#;$!2vLLLLLek$!#;$!2O++++++v$!#;$!20nmmmmT&Q!#;$!2vLLLLL$eR!#;$!1/++++]iS!#:$!1rmmmmmmT!#:$!1QLLLL$3F%!#:$!10+++++vV!#:7S$"18LLLLL3_!#;$"2jkmmmmm;%!#<$"2&z*********\7$!#<$"2EJLLLLL3#!#<$"2jkmmmm;/"!#<$!2=GDVW,%)*>!#J$!2jommmm;/"!#<$!2ENLLLLL3#!#<$!0-++++]7$!#:$!2uommmmm;%!#<$!1bLLLLL3_!#;$!1A+++++]i!#;$!1(ommmm;H(!#;$!1`LLLLLL$)!#;$!1=+++++v$*!#;$!2&ommmmmT5!#;$!1NLLLL$e9"!#:$!2;++++++D"!#;$!2$ommmm;a8!#;$!2[LLLLL$e9!#;$!28+++++Dc"!#;$!2zmmmmmmm"!#;$!2WLLLLL3x"!#;$!24+++++](=!#;$!2zmmmmm"z>!#;$!2WLLLLLL3#!#;$!28+++++v=#!#;$!2$ommmmm"H#!#;$!1NLLLL$eR#!#:$!2=++++++]#!#;$!2(ommmm;/E!#;$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!1pmmmmm;H!#:$!1OLLLL$3-$!#:$!1.+++++DJ!#:$!2'pmmmm;HK!#;$!2mLLLLLLL$!#;$!2O+++++vV$!#;$!20nmmmm;a$!#;$!2vLLLLLek$!#;$!2W++++++v$!#;$!20nmmmmT&Q!#;$!2vLLLLL$eR!#;$!1/++++]iS!#:$!1rmmmmmmT!#:$!1QLLLL$3F%!#:$!10+++++vV!#:$!1smmmm;zW!#:7S$"1VmmmmmmT!#;$"2n(*********\7$!#<$"2)4LLLLL$3#!#<$"1VmmmmmT5!#;$!2(GGr^$o9L#!#J$!2'*ommmm;/"!#<$!1cLLLLL$3#!#;$!1A+++++DJ!#;$!2'*ommmmm;%!#<$!1dLLLLL3_!#;$!1C+++++]i!#;$!1#pmmmm;H(!#;$!1dLLLLLL$)!#;$!1A+++++v$*!#;$!2(ommmmmT5!#;$!2bLLLLLe9"!#;$!1-+++++]7!#:$!2&ommmm;a8!#;$!2`LLLLL$e9!#;$!2=+++++Dc"!#;$!2$ommmmmm;!#;$!2[LLLLL3x"!#;$!28+++++](=!#;$!2zmmmmm"z>!#;$!1NLLLLL$3#!#:$!28+++++v=#!#;$!2$ommmmm"H#!#;$!2`LLLLLeR#!#;$!2=++++++]#!#;$!2(ommmm;/E!#;$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!1OLLLL$3-$!#:$!1.+++++DJ!#:$!0nmmmm"HK!#9$!2mLLLLLLL$!#;$!2O+++++vV$!#;$!20nmmmm;a$!#;$!2vLLLLLek$!#;$!2W++++++v$!#;$!29nmmmmT&Q!#;$!2vLLLLL$eR!#;$!1/++++]iS!#:$!1rmmmmmmT!#:$!1QLLLL$3F%!#:$!10+++++vV!#:$!1smmmm;zW!#:$!1RLLLLL$e%!#:7S$"2M(*********\7$!#<$"2oILLLLL3#!#<$"2-kmmmm;/"!#<$!2dP+"f_`kE!#J$!1$pmmmm;/"!#;$!2#fLLLLL$3#!#<$!2b-++++]7$!#<$!1#pmmmmm;%!#;$!1fLLLLL3_!#;$!1F+++++]i!#;$!1%pmmmm;H(!#;$!1hLLLLLL$)!#;$!1F+++++v$*!#;$!2#pmmmmmT5!#;$!2dLLLLLe9"!#;$!2C++++++D"!#;$!1pmmmm;a8!#:$!2bLLLLL$e9!#;$!2A+++++Dc"!#;$!2(ommmmmm;!#;$!2`LLLLL3x"!#;$!2=+++++](=!#;$!2$ommmm;z>!#;$!1NLLLLL$3#!#:$!2=+++++v=#!#;$!2$ommmmm"H#!#;$!2`LLLLLeR#!#;$!1-++++++D!#:$!2(ommmm;/E!#;$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!1.+++++DJ!#:$!0nmmmm"HK!#9$!1PLLLLLLL!#:$!2O+++++vV$!#;$!20nmmmm;a$!#;$!2vLLLLLek$!#;$!2W++++++v$!#;$!29nmmmmT&Q!#;$!2%QLLLLLeR!#;$!1/++++]iS!#:$!1rmmmmmmT!#:$!1QLLLL$3F%!#:$!10+++++vV!#:$!1smmmm;zW!#:$!1RLLLLL$e%!#:$!11++++](o%!#:7S$"2PILLLLL3#!#<$"2sjmmmm;/"!#<$!1lmD:54UH!#I$!2jpmmmm;/"!#<$!2EOLLLLL3#!#<$!1H+++++DJ!#;$!1&pmmmmm;%!#;$!1hLLLLL3_!#;$!1H+++++]i!#;$!1'pmmmm;H(!#;$!1kLLLLLL$)!#;$!1J+++++v$*!#;$!2'pmmmmmT5!#;$!2hLLLLLe9"!#;$!2F++++++D"!#;$!2%pmmmm;a8!#;$!1OLLLLLe9!#:$!2C+++++Dc"!#;$!2#pmmmmmm;!#;$!2dLLLLL3x"!#;$!2A+++++](=!#;$!2(ommmm;z>!#;$!2`LLLLLL3#!#;$!2=+++++v=#!#;$!2(ommmmm"H#!#;$!2`LLLLLeR#!#;$!1-++++++D!#:$!1pmmmm;/E!#:$!2dLLLLL$3F!#;$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2O+++++]7$!#;$!0nmmmm"HK!#9$!1PLLLLLLL!#:$!1/++++]PM!#:$!20nmmmm;a$!#;$!2vLLLLLek$!#;$!2W++++++v$!#;$!29nmmmmT&Q!#;$!2%QLLLLLeR!#;$!10++++]iS!#:$!1rmmmmmmT!#:$!1QLLLL$3F%!#:$!10+++++vV!#:$!1smmmm;zW!#:$!1RLLLLL$e%!#:$!11++++](o%!#:$!1tmmmmm"z%!#:7S$"2Tjmmmm;/"!#<$!1$eGqM-uC$!#I$!1*pmmmm;/"!#;$!1mLLLLL$3#!#;$!1K+++++DJ!#;$!2&)pmmmmm;%!#<$!1lLLLLL3_!#;$!1J+++++]i!#;$!1)pmmmm;H(!#;$!1mLLLLLL$)!#;$!1L+++++v$*!#;$!0nmmmm;/"!#9$!2mLLLLLe9"!#;$!1.+++++]7!#:$!2'pmmmm;a8!#;$!2kLLLLL$e9!#;$!2H+++++Dc"!#;$!2%pmmmmmm;!#;$!2hLLLLL3x"!#;$!2F+++++](=!#;$!2#pmmmm;z>!#;$!2dLLLLLL3#!#;$!1-++++](=#!#:$!2(ommmmm"H#!#;$!2dLLLLLeR#!#;$!1-++++++D!#:$!1pmmmm;/E!#:$!1OLLLLL3F!#:$!2F+++++D"G!#;$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2O+++++]7$!#;$!20nmmmm"HK!#;$!1PLLLLLLL!#:$!1/++++]PM!#:$!1rmmmmmTN!#:$!2vLLLLLek$!#;$!2W++++++v$!#;$!29nmmmmT&Q!#;$!2%QLLLLLeR!#;$!10++++]iS!#:$!1smmmmmmT!#:$!1QLLLL$3F%!#:$!10+++++vV!#:$!1smmmm;zW!#:$!1RLLLLL$e%!#:$!11++++](o%!#:$!1tmmmmm"z%!#:$!0MLLLLe*[!#97S$!1,0!)yOr_N!#I$!2@qmmmm;/"!#<$!2(oLLLLL$3#!#<$!2b.++++]7$!#<$!1-nmmmmmT!#;$!1oLLLLL3_!#;$!1M+++++]i!#;$!1,nmmmm"H(!#;$!1oLLLLLL$)!#;$!1O+++++v$*!#;$!2.nmmmm;/"!#;$!1PLLLL$e9"!#:$!2O++++++D"!#;$!0nmmmmTN"!#9$!2mLLLLL$e9!#;$!2L+++++Dc"!#;$!2)pmmmmmm;!#;$!2kLLLLL3x"!#;$!1.+++++v=!#:$!2'pmmmm;z>!#;$!1OLLLLL$3#!#:$!2F+++++v=#!#;$!1pmmmmm"H#!#:$!2dLLLLLeR#!#;$!2F++++++]#!#;$!1pmmmm;/E!#:$!1OLLLLL3F!#:$!1.++++]7G!#:$!2'pmmmmm;H!#;$!2mLLLLL3-$!#;$!2O+++++]7$!#;$!20nmmmm"HK!#;$!2vLLLLLLL$!#;$!1/++++]PM!#:$!1rmmmmmTN!#:$!1QLLLL$ek$!#:$!2W++++++v$!#;$!29nmmmmT&Q!#;$!2%QLLLLLeR!#;$!10++++]iS!#:$!1smmmmmmT!#:$!1RLLLL$3F%!#:$!10+++++vV!#:$!1smmmm;zW!#:$!1RLLLLL$e%!#:$!11++++](o%!#:$!1tmmmmm"z%!#:$!0MLLLLe*[!#9$!12++++++]!#:-%&COLORG6&%$RGBG$"(7%Hv!"($"(7%Hv!"($"(7%Hv!"(-%-TRANSPARENCYG6#$"")!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7&7%$!+/p^D5!#?$"+T)pL5#!#I$!"&!"#7%$"#;!""$!+$4a;G$!#>$!+L+++]!#67%$"#;!""$!+&HE*QH!#6$!+0]3XS!#67%$!+;VWK9!#?$!+ii#*QH!#6$!+s\3XS!#67&7%$!+;VWK9!#?$!+ii#*QH!#6$!+s\3XS!#67%$"#;!""$!+&HE*QH!#6$!+0]3XS!#67%$"#;!""$!+:EGbZ!#6$!+-]3X:!#67%$!+&oEAH"!#?$!+#e#GbZ!#6$!+p\3X:!#67&7%$!+&oEAH"!#?$!+#e#GbZ!#6$!+p\3X:!#67%$"#;!""$!+:EGbZ!#6$!+-]3X:!#67%$"#;!""$!+:EGbZ!#6$"+O\3X:!#67%$!+MQA%e'!#@$!+#e#GbZ!#6$"+p\3X:!#67&7%$!+MQA%e'!#@$!+#e#GbZ!#6$"+p\3X:!#67%$"#;!""$!+:EGbZ!#6$"+O\3X:!#67%$"#;!""$!+&HE*QH!#6$"+R\3XS!#67%$"+6*o(oA!#@$!+ii#*QH!#6$"+s\3XS!#67&7%$"+6*o(oA!#@$!+ii#*QH!#6$"+s\3XS!#67%$"#;!""$!+&HE*QH!#6$"+R\3XS!#67%$"#;!""$!+$4a;G$!#>$"+n******\!#67%$"+/p^D5!#?$!+T)pL5#!#I$""&!"#7&7%$"+/p^D5!#?$!+T)pL5#!#I$""&!"#7%$"#;!""$!+$4a;G$!#>$"+n******\!#67%$"#;!""$"+Hi#*QH!#6$"+R\3XS!#67%$"+;VWK9!#?$"+ii#*QH!#6$"+s\3XS!#67&7%$"+;VWK9!#?$"+ii#*QH!#6$"+s\3XS!#67%$"#;!""$"+Hi#*QH!#6$"+R\3XS!#67%$"#;!""$"+\DGbZ!#6$"+O\3X:!#67%$"+&oEAH"!#?$"+#e#GbZ!#6$"+p\3X:!#67&7%$"+&oEAH"!#?$"+#e#GbZ!#6$"+p\3X:!#67%$"#;!""$"+\DGbZ!#6$"+O\3X:!#67%$"#;!""$"+\DGbZ!#6$!+-]3X:!#67%$"+MQA%e'!#@$"+#e#GbZ!#6$!+p\3X:!#67&7%$"+MQA%e'!#@$"+#e#GbZ!#6$!+p\3X:!#67%$"#;!""$"+\DGbZ!#6$!+-]3X:!#67%$"#;!""$"+Hi#*QH!#6$!+0]3XS!#67%$!+6*o(oA!#@$"+ii#*QH!#6$!+s\3XS!#67&7%$!+6*o(oA!#@$"+ii#*QH!#6$!+s\3XS!#67%$"#;!""$"+Hi#*QH!#6$!+0]3XS!#67%$"#;!""$!+$4a;G$!#>$!+L+++]!#67%$!+/p^D5!#?$"+T)pL5#!#I$!"&!"#-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7%7%$"#;!""$!+$4a;G$!#>$!+.+++5!#57%$"#?!""$!+;w1-T!#>$!+;w1-T!#>7%$"#;!""$!+dD&y(e!#6$!+w*p,4)!#67%7%$"#;!""$!+dD&y(e!#6$!+w*p,4)!#67%$"#?!""$!+;w1-T!#>$!+;w1-T!#>7%$"#;!""$!+)>l0^*!#6$!+r*p,4$!#67%7%$"#;!""$!+)>l0^*!#6$!+r*p,4$!#67%$"#?!""$!+;w1-T!#>$!+;w1-T!#>7%$"#;!""$!+)>l0^*!#6$"+0*p,4$!#67%7%$"#;!""$!+)>l0^*!#6$"+0*p,4$!#67%$"#?!""$!+;w1-T!#>$!+;w1-T!#>7%$"#;!""$!+dD&y(e!#6$"*"*p,4)!#57%7%$"#;!""$!+dD&y(e!#6$"*"*p,4)!#57%$"#?!""$!+;w1-T!#>$!+;w1-T!#>7%$"#;!""$!+$4a;G$!#>$"+n********!#67%7%$"#;!""$!+$4a;G$!#>$"+n********!#67%$"#?!""$!+;w1-T!#>$!+;w1-T!#>7%$"#;!""$"+"\_y(e!#6$"*"*p,4)!#57%7%$"#;!""$"+"\_y(e!#6$"*"*p,4)!#57%$"#?!""$!+;w1-T!#>$!+;w1-T!#>7%$"#;!""$"+K^c5&*!#6$"+0*p,4$!#67%7%$"#;!""$"+K^c5&*!#6$"+0*p,4$!#67%$"#?!""$!+;w1-T!#>$!+;w1-T!#>7%$"#;!""$"+K^c5&*!#6$!+r*p,4$!#67%7%$"#;!""$"+K^c5&*!#6$!+r*p,4$!#67%$"#?!""$!+;w1-T!#>$!+;w1-T!#>7%$"#;!""$"+"\_y(e!#6$!+w*p,4)!#67%7%$"#;!""$"+"\_y(e!#6$!+w*p,4)!#67%$"#?!""$!+;w1-T!#>$!+;w1-T!#>7%$"#;!""$!+$4a;G$!#>$!+.+++5!#5-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$"#;!""$!+$4a;G$!#>$!+.+++5!#57%$"#;!""$!+dD&y(e!#6$!+w*p,4)!#67%$"#;!""$!+)>l0^*!#6$!+r*p,4$!#67%$"#;!""$!+)>l0^*!#6$"+0*p,4$!#67%$"#;!""$!+dD&y(e!#6$"*"*p,4)!#57%$"#;!""$!+$4a;G$!#>$"+n********!#67%$"#;!""$"+"\_y(e!#6$"*"*p,4)!#57%$"#;!""$"+K^c5&*!#6$"+0*p,4$!#67%$"#;!""$"+K^c5&*!#6$!+r*p,4$!#67%$"#;!""$"+"\_y(e!#6$!+w*p,4)!#6-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$!+/p^D5!#?$"+T)pL5#!#I$!"&!"#7%$!+;VWK9!#?$!+ii#*QH!#6$!+s\3XS!#67%$!+&oEAH"!#?$!+#e#GbZ!#6$!+p\3X:!#67%$!+MQA%e'!#@$!+#e#GbZ!#6$"+p\3X:!#67%$"+6*o(oA!#@$!+ii#*QH!#6$"+s\3XS!#67%$"+/p^D5!#?$!+T)pL5#!#I$""&!"#7%$"+;VWK9!#?$"+ii#*QH!#6$"+s\3XS!#67%$"+&oEAH"!#?$"+#e#GbZ!#6$"+p\3X:!#67%$"+MQA%e'!#@$"+#e#GbZ!#6$!+p\3X:!#67%$!+6*o(oA!#@$"+ii#*QH!#6$!+s\3XS!#6-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7&7%$""!!""$!+/p^D5!#?$!"&!"#7%$""!!""$"#K!""$!+m+++]!#67%$"+ii#*QH!#6$"#K!""$!+Q]3XS!#67%$"+ii#*QH!#6$!+Mgg'H)!#@$!+s\3XS!#67&7%$"+ii#*QH!#6$!+Mgg'H)!#@$!+s\3XS!#67%$"+ii#*QH!#6$"#K!""$!+Q]3XS!#67%$"+#e#GbZ!#6$"#K!""$!+N]3X:!#67%$"+#e#GbZ!#6$!+3:-pJ!#@$!+p\3X:!#67&7%$"+#e#GbZ!#6$!+3:-pJ!#@$!+p\3X:!#67%$"+#e#GbZ!#6$"#K!""$!+N]3X:!#67%$"+#e#GbZ!#6$"#K!""$"+.\3X:!#67%$"+#e#GbZ!#6$"+3:-pJ!#@$"+p\3X:!#67&7%$"+#e#GbZ!#6$"+3:-pJ!#@$"+p\3X:!#67%$"+#e#GbZ!#6$"#K!""$"+.\3X:!#67%$"+ii#*QH!#6$"#K!""$"+1\3XS!#67%$"+ii#*QH!#6$"+Mgg'H)!#@$"+s\3XS!#67&7%$"+ii#*QH!#6$"+Mgg'H)!#@$"+s\3XS!#67%$"+ii#*QH!#6$"#K!""$"+1\3XS!#67%$""!!""$"#K!""$"+M******\!#67%$""!!""$"+/p^D5!#?$""&!"#7&7%$""!!""$"+/p^D5!#?$""&!"#7%$""!!""$"#K!""$"+M******\!#67%$!+ii#*QH!#6$"#K!""$"+1\3XS!#67%$!+ii#*QH!#6$"+Mgg'H)!#@$"+s\3XS!#67&7%$!+ii#*QH!#6$"+Mgg'H)!#@$"+s\3XS!#67%$!+ii#*QH!#6$"#K!""$"+1\3XS!#67%$!+#e#GbZ!#6$"#K!""$"+.\3X:!#67%$!+#e#GbZ!#6$"+3:-pJ!#@$"+p\3X:!#67&7%$!+#e#GbZ!#6$"+3:-pJ!#@$"+p\3X:!#67%$!+#e#GbZ!#6$"#K!""$"+.\3X:!#67%$!+#e#GbZ!#6$"#K!""$!+N]3X:!#67%$!+#e#GbZ!#6$!+3:-pJ!#@$!+p\3X:!#67&7%$!+#e#GbZ!#6$!+3:-pJ!#@$!+p\3X:!#67%$!+#e#GbZ!#6$"#K!""$!+N]3X:!#67%$!+ii#*QH!#6$"#K!""$!+Q]3XS!#67%$!+ii#*QH!#6$!+Mgg'H)!#@$!+s\3XS!#67&7%$!+ii#*QH!#6$!+Mgg'H)!#@$!+s\3XS!#67%$!+ii#*QH!#6$"#K!""$!+Q]3XS!#67%$""!!""$"#K!""$!+m+++]!#67%$""!!""$!+/p^D5!#?$!"&!"#-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7%7%$""!!""$"#K!""$!+2+++5!#57%$""!!""$"#S!""$!+K_8/#)!#>7%$"+CD&y(e!#6$"#K!""$!+4+<!4)!#67%7%$"+CD&y(e!#6$"#K!""$!+4+<!4)!#67%$""!!""$"#S!""$!+K_8/#)!#>7%$"+l^c5&*!#6$"#K!""$!+/+<!4$!#67%7%$"+l^c5&*!#6$"#K!""$!+/+<!4$!#67%$""!!""$"#S!""$!+K_8/#)!#>7%$"+l^c5&*!#6$"#K!""$"+s)p,4$!#67%7%$"+l^c5&*!#6$"#K!""$"+s)p,4$!#67%$""!!""$"#S!""$!+K_8/#)!#>7%$"+CD&y(e!#6$"#K!""$"+x)p,4)!#67%7%$"+CD&y(e!#6$"#K!""$"+x)p,4)!#67%$""!!""$"#S!""$!+K_8/#)!#>7%$""!!""$"#K!""$"+M********!#67%7%$""!!""$"#K!""$"+M********!#67%$""!!""$"#S!""$!+K_8/#)!#>7%$!+CD&y(e!#6$"#K!""$"+x)p,4)!#67%7%$!+CD&y(e!#6$"#K!""$"+x)p,4)!#67%$""!!""$"#S!""$!+K_8/#)!#>7%$!+l^c5&*!#6$"#K!""$"+s)p,4$!#67%7%$!+l^c5&*!#6$"#K!""$"+s)p,4$!#67%$""!!""$"#S!""$!+K_8/#)!#>7%$!+l^c5&*!#6$"#K!""$!+/+<!4$!#67%7%$!+l^c5&*!#6$"#K!""$!+/+<!4$!#67%$""!!""$"#S!""$!+K_8/#)!#>7%$!+CD&y(e!#6$"#K!""$!+4+<!4)!#67%7%$!+CD&y(e!#6$"#K!""$!+4+<!4)!#67%$""!!""$"#S!""$!+K_8/#)!#>7%$""!!""$"#K!""$!+2+++5!#5-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$""!!""$"#K!""$!+2+++5!#57%$"+CD&y(e!#6$"#K!""$!+4+<!4)!#67%$"+l^c5&*!#6$"#K!""$!+/+<!4$!#67%$"+l^c5&*!#6$"#K!""$"+s)p,4$!#67%$"+CD&y(e!#6$"#K!""$"+x)p,4)!#67%$""!!""$"#K!""$"+M********!#67%$!+CD&y(e!#6$"#K!""$"+x)p,4)!#67%$!+l^c5&*!#6$"#K!""$"+s)p,4$!#67%$!+l^c5&*!#6$"#K!""$!+/+<!4$!#67%$!+CD&y(e!#6$"#K!""$!+4+<!4)!#6-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$""!!""$!+/p^D5!#?$!"&!"#7%$"+ii#*QH!#6$!+Mgg'H)!#@$!+s\3XS!#67%$"+#e#GbZ!#6$!+3:-pJ!#@$!+p\3X:!#67%$"+#e#GbZ!#6$"+3:-pJ!#@$"+p\3X:!#67%$"+ii#*QH!#6$"+Mgg'H)!#@$"+s\3XS!#67%$""!!""$"+/p^D5!#?$""&!"#7%$!+ii#*QH!#6$"+Mgg'H)!#@$"+s\3XS!#67%$!+#e#GbZ!#6$"+3:-pJ!#@$"+p\3X:!#67%$!+#e#GbZ!#6$!+3:-pJ!#@$!+p\3X:!#67%$!+ii#*QH!#6$!+Mgg'H)!#@$!+s\3XS!#6-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7&7%$""!!""$""&!"#$""!!""7%$""!!""$""&!"#$"#S!""7%$"+ii#*QH!#6$"+s\3XS!#6$"#S!""7%$"+ii#*QH!#6$"+s\3XS!#6$""!!""7&7%$"+ii#*QH!#6$"+s\3XS!#6$""!!""7%$"+ii#*QH!#6$"+s\3XS!#6$"#S!""7%$"+#e#GbZ!#6$"+p\3X:!#6$"#S!""7%$"+#e#GbZ!#6$"+p\3X:!#6$""!!""7&7%$"+#e#GbZ!#6$"+p\3X:!#6$""!!""7%$"+#e#GbZ!#6$"+p\3X:!#6$"#S!""7%$"+#e#GbZ!#6$!+p\3X:!#6$"#S!""7%$"+#e#GbZ!#6$!+p\3X:!#6$""!!""7&7%$"+#e#GbZ!#6$!+p\3X:!#6$""!!""7%$"+#e#GbZ!#6$!+p\3X:!#6$"#S!""7%$"+ii#*QH!#6$!+s\3XS!#6$"#S!""7%$"+ii#*QH!#6$!+s\3XS!#6$""!!""7&7%$"+ii#*QH!#6$!+s\3XS!#6$""!!""7%$"+ii#*QH!#6$!+s\3XS!#6$"#S!""7%$""!!""$!"&!"#$"#S!""7%$""!!""$!"&!"#$""!!""7&7%$""!!""$!"&!"#$""!!""7%$""!!""$!"&!"#$"#S!""7%$!+ii#*QH!#6$!+s\3XS!#6$"#S!""7%$!+ii#*QH!#6$!+s\3XS!#6$""!!""7&7%$!+ii#*QH!#6$!+s\3XS!#6$""!!""7%$!+ii#*QH!#6$!+s\3XS!#6$"#S!""7%$!+#e#GbZ!#6$!+p\3X:!#6$"#S!""7%$!+#e#GbZ!#6$!+p\3X:!#6$""!!""7&7%$!+#e#GbZ!#6$!+p\3X:!#6$""!!""7%$!+#e#GbZ!#6$!+p\3X:!#6$"#S!""7%$!+#e#GbZ!#6$"+p\3X:!#6$"#S!""7%$!+#e#GbZ!#6$"+p\3X:!#6$""!!""7&7%$!+#e#GbZ!#6$"+p\3X:!#6$""!!""7%$!+#e#GbZ!#6$"+p\3X:!#6$"#S!""7%$!+ii#*QH!#6$"+s\3XS!#6$"#S!""7%$!+ii#*QH!#6$"+s\3XS!#6$""!!""7&7%$!+ii#*QH!#6$"+s\3XS!#6$""!!""7%$!+ii#*QH!#6$"+s\3XS!#6$"#S!""7%$""!!""$""&!"#$"#S!""7%$""!!""$""&!"#$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7%7%$""!!""$"""!""$"#S!""7%$""!!""$""!!""$"#]!""7%$"+CD&y(e!#6$"+V*p,4)!#6$"#S!""7%7%$"+CD&y(e!#6$"+V*p,4)!#6$"#S!""7%$""!!""$""!!""$"#]!""7%$"+l^c5&*!#6$"+Q*p,4$!#6$"#S!""7%7%$"+l^c5&*!#6$"+Q*p,4$!#6$"#S!""7%$""!!""$""!!""$"#]!""7%$"+l^c5&*!#6$!+Q*p,4$!#6$"#S!""7%7%$"+l^c5&*!#6$!+Q*p,4$!#6$"#S!""7%$""!!""$""!!""$"#]!""7%$"+CD&y(e!#6$!+V*p,4)!#6$"#S!""7%7%$"+CD&y(e!#6$!+V*p,4)!#6$"#S!""7%$""!!""$""!!""$"#]!""7%$""!!""$!""!""$"#S!""7%7%$""!!""$!""!""$"#S!""7%$""!!""$""!!""$"#]!""7%$!+CD&y(e!#6$!+V*p,4)!#6$"#S!""7%7%$!+CD&y(e!#6$!+V*p,4)!#6$"#S!""7%$""!!""$""!!""$"#]!""7%$!+l^c5&*!#6$!+Q*p,4$!#6$"#S!""7%7%$!+l^c5&*!#6$!+Q*p,4$!#6$"#S!""7%$""!!""$""!!""$"#]!""7%$!+l^c5&*!#6$"+Q*p,4$!#6$"#S!""7%7%$!+l^c5&*!#6$"+Q*p,4$!#6$"#S!""7%$""!!""$""!!""$"#]!""7%$!+CD&y(e!#6$"+V*p,4)!#6$"#S!""7%7%$!+CD&y(e!#6$"+V*p,4)!#6$"#S!""7%$""!!""$""!!""$"#]!""7%$""!!""$"""!""$"#S!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$""!!""$"""!""$"#S!""7%$"+CD&y(e!#6$"+V*p,4)!#6$"#S!""7%$"+l^c5&*!#6$"+Q*p,4$!#6$"#S!""7%$"+l^c5&*!#6$!+Q*p,4$!#6$"#S!""7%$"+CD&y(e!#6$!+V*p,4)!#6$"#S!""7%$""!!""$!""!""$"#S!""7%$!+CD&y(e!#6$!+V*p,4)!#6$"#S!""7%$!+l^c5&*!#6$!+Q*p,4$!#6$"#S!""7%$!+l^c5&*!#6$"+Q*p,4$!#6$"#S!""7%$!+CD&y(e!#6$"+V*p,4)!#6$"#S!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$""!!""$""&!"#$""!!""7%$"+ii#*QH!#6$"+s\3XS!#6$""!!""7%$"+#e#GbZ!#6$"+p\3X:!#6$""!!""7%$"+#e#GbZ!#6$!+p\3X:!#6$""!!""7%$"+ii#*QH!#6$!+s\3XS!#6$""!!""7%$""!!""$!"&!"#$""!!""7%$!+ii#*QH!#6$!+s\3XS!#6$""!!""7%$!+#e#GbZ!#6$!+p\3X:!#6$""!!""7%$!+#e#GbZ!#6$"+p\3X:!#6$""!!""7%$!+ii#*QH!#6$"+s\3XS!#6$""!!""-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7&7%$"+ar[1:!#6$"+ldVKv!#7$!+eBx2Z!#67%$"+Xm")\6!"*$"+BK3\d!#5$"+b)H#oS!#57%$"+)y#3g6!"*$"+%*>$=Z&!#5$"+2.9eT!#57%$"+*[,J`#!#6$!+2(o#>?!#6$!+Vym3Q!#67&7%$"+*[,J`#!#6$!+2(o#>?!#6$!+Vym3Q!#67%$"+)y#3g6!"*$"+%*>$=Z&!#5$"+2.9eT!#57%$"+XLng6!"*$"+n*4<F&!#5$"+D*GNR%!#57%$"+_r:#f#!#6$!+x*)[?S!#6$!+h;ya9!#67&7%$"+_r:#f#!#6$!+x*)[?S!#6$!+h;ya9!#67%$"+XLng6!"*$"+n*4<F&!#5$"+D*GNR%!#57%$"+UFO^6!"*$"+ap:D_!#5$"+d_[%o%!#57%$"+))o4h;!#6$!+4">g[%!#6$"+h;ya9!#67&7%$"+))o4h;!#6$!+4">g[%!#6$"+h;ya9!#67%$"+UFO^6!"*$"+ap:D_!#5$"+d_[%o%!#57%$"+9tqN6!"*$"+CY&*\`!#5$"+vQ()>\!#57%$")rSb&*!#6$!+:C/QK!#6$"+Vym3Q!#67&7%$")rSb&*!#6$!+:C/QK!#6$"+Vym3Q!#67%$"+9tqN6!"*$"+CY&*\`!#5$"+vQ()>\!#57%$"+,po>6!"*$"+2XV)f&!#5$"+FVy4]!#57%$!+ar[1:!#6$!+ldVKv!#7$"+eBx2Z!#67&7%$!+ar[1:!#6$!+ldVKv!#7$"+eBx2Z!#67%$"+,po>6!"*$"+2XV)f&!#5$"+FVy4]!#57%$"+e2U46!"*$"+Odove!#5$"+vQ()>\!#57%$!+*[,J`#!#6$"+2(o#>?!#6$"+Vym3Q!#67&7%$!+*[,J`#!#6$"+2(o#>?!#6$"+Vym3Q!#67%$"+e2U46!"*$"+Odove!#5$"+vQ()>\!#57%$"+,-$)36!"*$"+jx!e2'!#5$"+d_[%o%!#57%$!+_r:#f#!#6$"+x*)[?S!#6$"+h;ya9!#67&7%$!+_r:#f#!#6$"+x*)[?S!#6$"+h;ya9!#67%$"+,-$)36!"*$"+jx!e2'!#5$"+d_[%o%!#57%$"+/39=6!"*$"+w2OAh!#5$"+D*GNR%!#57%$!+))o4h;!#6$"+4">g[%!#6$!+h;ya9!#67&7%$!+))o4h;!#6$"+4">g[%!#6$!+h;ya9!#67%$"+/39=6!"*$"+w2OAh!#5$"+D*GNR%!#57%$"+KizL6!"*$"+1Jc(*f!#5$"+2.9eT!#57%$!)rSb&*!#6$"+:C/QK!#6$!+Vym3Q!#67&7%$!)rSb&*!#6$"+:C/QK!#6$!+Vym3Q!#67%$"+KizL6!"*$"+1Jc(*f!#5$"+2.9eT!#57%$"+Xm")\6!"*$"+BK3\d!#5$"+b)H#oS!#57%$"+ar[1:!#6$"+ldVKv!#7$!+eBx2Z!#6-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7%7%$"+;:)[;"!"*$"*e2W#e!"*$"*i_uf$!"*7%$"+;(R%=9!"*$"+z&)>#4(!#5$"+j)ePn&!#57%$"+.QT&="!"*$"+C^!*p_!#5$"+ANFxP!#57%7%$"+.QT&="!"*$"+C^!*p_!#5$"+ANFxP!#57%$"+;(R%=9!"*$"+z&)>#4(!#5$"+j)ePn&!#57%$"+;\f'="!"*$"*2h'p[!"*$"+f20[U!#57%7%$"+;\f'="!"*$"*2h'p[!"*$"+f20[U!#57%$"+;(R%=9!"*$"+z&)>#4(!#5$"+j)ePn&!#57%$"+6P(z;"!"*$"+V]bwZ!#5$"+BM'*H[!#57%7%$"+6P(z;"!"*$"+V]bwZ!#5$"+BM'*H[!#57%$"+;(R%=9!"*$"+z&)>#4(!#5$"+j)ePn&!#57%$"+aGmO6!"*$"+#Q]h-&!#5$"*mS2I&!"*7%7%$"+aGmO6!"*$"+#Q]h-&!#5$"*mS2I&!"*7%$"+;(R%=9!"*$"+z&)>#4(!#5$"+j)ePn&!#57%$"*.AY5"!")$"*:5J_&!"*$"+i:c![&!#57%7%$"*.AY5"!")$"*:5J_&!"*$"+i:c![&!#57%$"+;(R%=9!"*$"+z&)>#4(!#5$"+j)ePn&!#57%$"+V(*3%3"!"*$"+1Ehxg!#5$"*mS2I&!"*7%7%$"+V(*3%3"!"*$"+1Ehxg!#5$"*mS2I&!"*7%$"+;(R%=9!"*$"+z&)>#4(!#5$"+j)ePn&!#57%$"*j3H3"!")$"*mcyZ'!"*$"+BM'*H[!#57%7%$"*j3H3"!")$"*mcyZ'!"*$"+BM'*H[!#57%$"+;(R%=9!"*$"+z&)>#4(!#5$"+j)ePn&!#57%$"+N)H:5"!"*$"+(oi4d'!#5$"+f20[U!#57%7%$"+N)H:5"!"*$"+(oi4d'!#5$"+f20[U!#57%$"+;(R%=9!"*$"+z&)>#4(!#5$"+j)ePn&!#57%$"+#pSG8"!"*$"+[tO@j!#5$"+ANFxP!#57%7%$"+#pSG8"!"*$"+[tO@j!#5$"+ANFxP!#57%$"+;(R%=9!"*$"+z&)>#4(!#5$"+j)ePn&!#57%$"+;:)[;"!"*$"*e2W#e!"*$"*i_uf$!"*-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$"+;:)[;"!"*$"*e2W#e!"*$"*i_uf$!"*7%$"+.QT&="!"*$"+C^!*p_!#5$"+ANFxP!#57%$"+;\f'="!"*$"*2h'p[!"*$"+f20[U!#57%$"+6P(z;"!"*$"+V]bwZ!#5$"+BM'*H[!#57%$"+aGmO6!"*$"+#Q]h-&!#5$"*mS2I&!"*7%$"*.AY5"!")$"*:5J_&!"*$"+i:c![&!#57%$"+V(*3%3"!"*$"+1Ehxg!#5$"*mS2I&!"*7%$"*j3H3"!")$"*mcyZ'!"*$"+BM'*H[!#57%$"+N)H:5"!"*$"+(oi4d'!#5$"+f20[U!#57%$"+#pSG8"!"*$"+[tO@j!#5$"+ANFxP!#5-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$"+ar[1:!#6$"+ldVKv!#7$!+eBx2Z!#67%$"+*[,J`#!#6$!+2(o#>?!#6$!+Vym3Q!#67%$"+_r:#f#!#6$!+x*)[?S!#6$!+h;ya9!#67%$"+))o4h;!#6$!+4">g[%!#6$"+h;ya9!#67%$")rSb&*!#6$!+:C/QK!#6$"+Vym3Q!#67%$!+ar[1:!#6$!+ldVKv!#7$"+eBx2Z!#67%$!+*[,J`#!#6$"+2(o#>?!#6$"+Vym3Q!#67%$!+_r:#f#!#6$"+x*)[?S!#6$"+h;ya9!#67%$!+))o4h;!#6$"+4">g[%!#6$!+h;ya9!#67%$!)rSb&*!#6$"+:C/QK!#6$!+Vym3Q!#6-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7&7%$"+84K$)>!"*$"+X].M?!#6$!+m-:_U!#67%$"+&os!=:!"*$"+uB;xe!#5$"+k?z8T!#57%$"+yQ)Ra"!"*$"+wqmCg!#5$"+34+&>%!#57%$"+0@B4?!"*$"+t?34N!#6$!+G=1SM!#67&7%$"+0@B4?!"*$"+t?34N!#6$!+G=1SM!#67%$"+yQ)Ra"!"*$"+wqmCg!#5$"+34+&>%!#57%$"*sojc"!")$"+rn8Qg!#5$"+A%3wS%!#57%$"+ZphJ?!"*$"+;!zPk$!#6$!+#p')RJ"!#67&7%$"+ZphJ?!"*$"+;!zPk$!#6$!+#p')RJ"!#67%$"*sojc"!")$"+rn8Qg!#5$"+A%3wS%!#57%$"+jpnw:!"*$"+#\EC"f!#5$"*w0/n%!"*7%$"*>D>/#!")$"+Ein'Q#!#6$"+#p')RJ"!#67&7%$"*>D>/#!")$"+Ein'Q#!#6$"+#p')RJ"!#67%$"+jpnw:!"*$"+#\EC"f!#5$"*w0/n%!"*7%$"+37(4d"!"*$"+#H`bp&!#5$"+uK,$)[!#57%$"+N%>i.#!"*$"*NU%z@!#6$"+G=1SM!#67&7%$"+N%>i.#!"*$"*NU%z@!#6$"+G=1SM!#67%$"+37(4d"!"*$"+#H`bp&!#5$"+uK,$)[!#57%$"*'3V^:!")$"+k`Nqa!#5$"+=@Ak\!#57%$"+(3zm,#!"*$!+X].M?!#6$"+m-:_U!#67&7%$"+(3zm,#!"*$!+X].M?!#6$"+m-:_U!#67%$"*'3V^:!")$"+k`Nqa!#5$"+=@Ak\!#57%$"+o'>b_"!"*$"+i1&GK&!#5$"+uK,$)[!#57%$"+&*yw!*>!"*$!+t?34N!#6$"+G=1SM!#67&7%$"+&*yw!*>!"*$!+t?34N!#6$"+G=1SM!#67%$"+o'>b_"!"*$"+i1&GK&!#5$"+uK,$)[!#57%$"+E[8.:!"*$"+n4Q4`!#5$"*w0/n%!"*7%$"+`IQo>!"*$!+;!zPk$!#6$"+#p')RJ"!#67&7%$"+`IQo>!"*$!+;!zPk$!#6$"+#p')RJ"!#67%$"+E[8.:!"*$"+n4Q4`!#5$"*w0/n%!"*7%$"+$eEG\"!"*$"+Y74Na!#5$"+A%3wS%!#57%$"*"[2e>!")$!+Ein'Q#!#6$!+#p')RJ"!#67&7%$"*"[2e>!")$!+Ein'Q#!#6$!+#p')RJ"!#67%$"+$eEG\"!"*$"+Y74Na!#5$"+A%3wS%!#57%$"+PB`)\"!"*$"+YW'>l&!#5$"+34+&>%!#57%$"+l0yj>!"*$!*NU%z@!#6$!+G=1SM!#67&7%$"+l0yj>!"*$!*NU%z@!#6$!+G=1SM!#67%$"+PB`)\"!"*$"+YW'>l&!#5$"+34+&>%!#57%$"+&os!=:!"*$"+uB;xe!#5$"+k?z8T!#57%$"+84K$)>!"*$"+X].M?!#6$!+m-:_U!#6-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7%7%$"+)f$R,:!"*$"+yec!3'!#5$"+Qqd)o$!#57%$"+;(R%=9!"*$"+'e)>#4(!#5$"+k)ePn&!#57%$"+$)f@`:!"*$"+%GvbP'!#5$"+EZ*4&Q!#57%7%$"+$)f@`:!"*$"+%GvbP'!#5$"+EZ*4&Q!#57%$"+;(R%=9!"*$"+'e)>#4(!#5$"+k)ePn&!#57%$"+nc)zf"!"*$"+sY^-k!#5$"+`(4iF%!#57%7%$"+nc)zf"!"*$"+sY^-k!#5$"+`(4iF%!#57%$"+;(R%=9!"*$"+'e)>#4(!#5$"+k)ePn&!#57%$"+`@g=;!"*$"+9T4^h!#5$"+HW!=![!#57%7%$"+`@g=;!"*$"+9T4^h!#5$"+HW!=![!#57%$"+;(R%=9!"*$"+'e)>#4(!#5$"+k)ePn&!#57%$"+V1>2;!"*$"+;xM<d!#5$"+c%>qA&!#57%7%$"+V1>2;!"*$"+;xM<d!#5$"+c%>qA&!#57%$"+;(R%=9!"*$"+'e)>#4(!#5$"+k)ePn&!#57%$"+Z*4"o:!"*$"*'=&pE&!"*$"+WrV*Q&!#57%7%$"+Z*4"o:!"*$"*'=&pE&!"*$"+WrV*Q&!#57%$"+;(R%=9!"*$"+'e)>#4(!#5$"+k)ePn&!#57%$"+jvG;:!"*$"+aC%>(\!#5$"+c%>qA&!#57%7%$"+jvG;:!"*$"+aC%>(\!#5$"+c%>qA&!#57%$"+;(R%=9!"*$"+'e)>#4(!#5$"+k)ePn&!#57%$"+yy^r9!"*$"+mI+X\!#5$"+HW!=![!#57%7%$"+yy^r9!"*$"+mI+X\!#5$"+HW!=![!#57%$"+;(R%=9!"*$"+'e)>#4(!#5$"+k)ePn&!#57%$"+$R,4X"!"*$"+COU'>&!#5$"+`(4iF%!#57%7%$"+$R,4X"!"*$"+COU'>&!#5$"+`(4iF%!#57%$"+;(R%=9!"*$"+'e)>#4(!#5$"+k)ePn&!#57%$"+-HJi9!"*$"+A+<Ic!#5$"+EZ*4&Q!#57%7%$"+-HJi9!"*$"+A+<Ic!#5$"+EZ*4&Q!#57%$"+;(R%=9!"*$"+'e)>#4(!#5$"+k)ePn&!#57%$"+)f$R,:!"*$"+yec!3'!#5$"+Qqd)o$!#5-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$"+)f$R,:!"*$"+yec!3'!#5$"+Qqd)o$!#57%$"+$)f@`:!"*$"+%GvbP'!#5$"+EZ*4&Q!#57%$"+nc)zf"!"*$"+sY^-k!#5$"+`(4iF%!#57%$"+`@g=;!"*$"+9T4^h!#5$"+HW!=![!#57%$"+V1>2;!"*$"+;xM<d!#5$"+c%>qA&!#57%$"+Z*4"o:!"*$"*'=&pE&!"*$"+WrV*Q&!#57%$"+jvG;:!"*$"+aC%>(\!#5$"+c%>qA&!#57%$"+yy^r9!"*$"+mI+X\!#5$"+HW!=![!#57%$"+$R,4X"!"*$"+COU'>&!#5$"+`(4iF%!#57%$"+-HJi9!"*$"+A+<Ic!#5$"+EZ*4&Q!#5-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$"+84K$)>!"*$"+X].M?!#6$!+m-:_U!#67%$"+0@B4?!"*$"+t?34N!#6$!+G=1SM!#67%$"+ZphJ?!"*$"+;!zPk$!#6$!+#p')RJ"!#67%$"*>D>/#!")$"+Ein'Q#!#6$"+#p')RJ"!#67%$"+N%>i.#!"*$"*NU%z@!#6$"+G=1SM!#67%$"+(3zm,#!"*$!+X].M?!#6$"+m-:_U!#67%$"+&*yw!*>!"*$!+t?34N!#6$"+G=1SM!#67%$"+`IQo>!"*$!+;!zPk$!#6$"+#p')RJ"!#67%$"*"[2e>!")$!+Ein'Q#!#6$!+#p')RJ"!#67%$"+l0yj>!"*$!*NU%z@!#6$!+G=1SM!#6-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7&7%$"*ii]4$!#6$"+b%>G*R!"*$!*">[Q\!#57%$"+Po%y8"!"*$"+U`>g8!"*$"+0*e^/%!#57%$"+loE56!"*$"+rN$*\8!"*$"+<bZRT!#57%$!+[4\[C!#6$"+%odD)R!"*$!+"z:`*R!#67&7%$!+[4\[C!#6$"+%odD)R!"*$!+"z:`*R!#67%$"+loE56!"*$"+rN$*\8!"*$"+<bZRT!#57%$"+'HR?4"!"*$"+sTLY8!"*$"+8'*R'Q%!#57%$!+PyCrU!#6$"+&Ge*yR!"*$!+M[2E:!#67&7%$!+PyCrU!#6$"+&Ge*yR!"*$!+M[2E:!#67%$"+'HR?4"!"*$"+sTLY8!"*$"+8'*R'Q%!#57%$"+Uk7!4"!"*$"+$*>x]8!"*$"+zXh"p%!#57%$!+FK`iW!#6$"+1hR$)R!"*$"+M[2E:!#67&7%$!+FK`iW!#6$"+1hR$)R!"*$"+M[2E:!#67%$"+Uk7!4"!"*$"+$*>x]8!"*$"+zXh"p%!#57%$"+[*e_5"!"*$"+P>bh8!"*$"+v'Q&Q\!#57%$!)EG\H!"*$"*0wT*R!")$"+"z:`*R!#67&7%$!)EG\H!"*$"*0wT*R!")$"+"z:`*R!#67%$"+[*e_5"!"*$"+P>bh8!"*$"+v'Q&Q\!#57%$"+6nlJ6!"*$"+Kkbu8!"*$"+(GbG.&!#57%$!*ii]4$!#6$"+X0=2S!"*$"*">[Q\!#57&7%$!*ii]4$!#6$"+X0=2S!"*$"*">[Q\!#57%$"+6nlJ6!"*$"+Kkbu8!"*$"+(GbG.&!#57%$"+$oO#f6!"*$"+.#=[Q"!"*$"+v'Q&Q\!#57%$"+[4\[C!#6$"+;BW<S!"*$"+"z:`*R!#67&7%$"+[4\[C!#6$"+;BW<S!"*$"+"z:`*R!#67%$"+$oO#f6!"*$"+.#=[Q"!"*$"+v'Q&Q\!#57%$"+_UYx6!"*$"+-wT)Q"!"*$"+zXh"p%!#57%$"+PyCrU!#6$"+:</@S!"*$"+M[2E:!#67&7%$"+PyCrU!#6$"+:</@S!"*$"+M[2E:!#67%$"+_UYx6!"*$"+-wT)Q"!"*$"+zXh"p%!#57%$"+1rPz6!"*$"+"yzRQ"!"*$"+8'*R'Q%!#57%$"+FK`iW!#6$"+%*Qg;S!"*$!+M[2E:!#67&7%$"+FK`iW!#6$"+%*Qg;S!"*$!+M[2E:!#67%$"+1rPz6!"*$"+"yzRQ"!"*$"+8'*R'Q%!#57%$")YCk6!"($"+P)*>t8!"*$"+<bZRT!#57%$")EG\H!"*$"*&R#e+%!")$!+"z:`*R!#67&7%$")EG\H!"*$"*&R#e+%!")$!+"z:`*R!#67%$")YCk6!"($"+P)*>t8!"*$"+<bZRT!#57%$"+Po%y8"!"*$"+U`>g8!"*$"+0*e^/%!#57%$"*ii]4$!#6$"+b%>G*R!"*$!*">[Q\!#5-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7%7%$"+**=%49"!"*$"+'z9IN"!"*$"+92J^N!#57%$"+<(R%=9!"*$"*e)>#4(!"*$"*()ePn&!"*7%$"+b>y&3"!"*$"+b7\K8!"*$"+QR%*RP!#57%7%$"+b>y&3"!"*$"+b7\K8!"*$"+QR%*RP!#57%$"+<(R%=9!"*$"*e)>#4(!"*$"*()ePn&!"*7%$"+<oK\5!"*$"+eCHD8!"*$"+H@zLU!#57%7%$"+<oK\5!"*$"+eCHD8!"*$"+H@zLU!#57%$"+<(R%=9!"*$"*e)>#4(!"*$"*()ePn&!"*7%$"+46]X5!"*$")"oTL"!"($"+j?AW[!#57%7%$"+46]X5!"*$")"oTL"!"($"+j?AW[!#57%$"+<(R%=9!"*$"*e)>#4(!"*$"*()ePn&!"*7%$"+Ahwv5!"*$"+))zsb8!"*$"+a-2Q`!#57%7%$"+Ahwv5!"*$"+))zsb8!"*$"+a-2Q`!#57%$"+<(R%=9!"*$"*e)>#4(!"*$"*()ePn&!"*7%$"+\;cG6!"*$"+ypt"Q"!"*$"+yMqEb!#57%7%$"+\;cG6!"*$"+ypt"Q"!"*$"+yMqEb!#57%$"+<(R%=9!"*$"*e)>#4(!"*$"*()ePn&!"*7%$"+$f@P="!"*$"+>0E-9!"*$"+a-2Q`!#57%7%$"+$f@P="!"*$"+>0E-9!"*$"+a-2Q`!#57%$"+<(R%=9!"*$"*e)>#4(!"*$"*()ePn&!"*7%$"+Jn<?7!"*$"+;$f%49!"*$"+j?AW[!#57%7%$"+Jn<?7!"*$"+;$f%49!"*$"+j?AW[!#57%$"+<(R%=9!"*$"*e)>#4(!"*$"*()ePn&!"*7%$"+RC+C7!"*$"+uOe+9!"*$"+H@zLU!#57%7%$"+RC+C7!"*$"+uOe+9!"*$"+H@zLU!#57%$"+<(R%=9!"*$"*e)>#4(!"*$"*()ePn&!"*7%$"+Eut$>"!"*$"+'yB!z8!"*$"+QR%*RP!#57%7%$"+Eut$>"!"*$"+'yB!z8!"*$"+QR%*RP!#57%$"+<(R%=9!"*$"*e)>#4(!"*$"*()ePn&!"*7%$"+**=%49"!"*$"+'z9IN"!"*$"+92J^N!#5-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$"+**=%49"!"*$"+'z9IN"!"*$"+92J^N!#57%$"+b>y&3"!"*$"+b7\K8!"*$"+QR%*RP!#57%$"+<oK\5!"*$"+eCHD8!"*$"+H@zLU!#57%$"+46]X5!"*$")"oTL"!"($"+j?AW[!#57%$"+Ahwv5!"*$"+))zsb8!"*$"+a-2Q`!#57%$"+\;cG6!"*$"+ypt"Q"!"*$"+yMqEb!#57%$"+$f@P="!"*$"+>0E-9!"*$"+a-2Q`!#57%$"+Jn<?7!"*$"+;$f%49!"*$"+j?AW[!#57%$"+RC+C7!"*$"+uOe+9!"*$"+H@zLU!#57%$"+Eut$>"!"*$"+'yB!z8!"*$"+QR%*RP!#5-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$"*ii]4$!#6$"+b%>G*R!"*$!*">[Q\!#57%$!+[4\[C!#6$"+%odD)R!"*$!+"z:`*R!#67%$!+PyCrU!#6$"+&Ge*yR!"*$!+M[2E:!#67%$!+FK`iW!#6$"+1hR$)R!"*$"+M[2E:!#67%$!)EG\H!"*$"*0wT*R!")$"+"z:`*R!#67%$!*ii]4$!#6$"+X0=2S!"*$"*">[Q\!#57%$"+[4\[C!#6$"+;BW<S!"*$"+"z:`*R!#67%$"+PyCrU!#6$"+:</@S!"*$"+M[2E:!#67%$"+FK`iW!#6$"+%*Qg;S!"*$!+M[2E:!#67%$")EG\H!"*$"*&R#e+%!")$!+"z:`*R!#6-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7&7%$"+lhd`>!"*$!+:ao@&*!#@$!+#Q`p&=!#67%$"*lhd`$!"*$!+Z4(oP$!#>$"+m/V")R!"*7%$"*HBWi$!"*$"+Gi#*QH!#6$"+Kp(\)R!"*7%$"+HBWi>!"*$"+hi#*QH!#6$!+VoI-:!#67&7%$"+HBWi>!"*$"+hi#*QH!#6$!+VoI-:!#67%$"*HBWi$!"*$"+Gi#*QH!#6$"+Kp(\)R!"*7%$"*YUl&Q!"*$"+\DGbZ!#6$"+)phU*R!"*7%$"+YUl&)>!"*$"+#e#GbZ!#6$!+;:IQd!#77&7%$"+YUl&)>!"*$"+#e#GbZ!#6$!+;:IQd!#77%$"*YUl&Q!"*$"+\DGbZ!#6$"+)phU*R!"*7%$"*adM9%!"*$"+\DGbZ!#6$"+-$Qd+%!"*7%$"+adM9?!"*$"+#e#GbZ!#6$"+;:IQd!#77&7%$"+adM9?!"*$"+#e#GbZ!#6$"+;:IQd!#77%$"*adM9%!"*$"+\DGbZ!#6$"+-$Qd+%!"*7%$"*rwbP%!"*$"*BE*QH!#5$"+oI-:S!"*7%$"+rwbP?!"*$"+ji#*QH!#6$"+VoI-:!#67&7%$"+rwbP?!"*$"+ji#*QH!#6$"+VoI-:!#67%$"*rwbP%!"*$"*BE*QH!#5$"+oI-:S!"*7%$"*NQUY%!"*$!+RsV'=$!#>$"+M&p&=S!"*7%$"+NQUY?!"*$"+:ao@&*!#@$"+#Q`p&=!#67&7%$"+NQUY?!"*$"+:ao@&*!#@$"+#Q`p&=!#67%$"*NQUY%!"*$!+RsV'=$!#>$"+M&p&=S!"*7%$"*rwbP%!"*$!+%HE*QH!#6$"+oI-:S!"*7%$"+rwbP?!"*$!+hi#*QH!#6$"+VoI-:!#67&7%$"+rwbP?!"*$!+hi#*QH!#6$"+VoI-:!#67%$"*rwbP%!"*$!+%HE*QH!#6$"+oI-:S!"*7%$"*adM9%!"*$!+:EGbZ!#6$"+-$Qd+%!"*7%$"+adM9?!"*$!+#e#GbZ!#6$"+;:IQd!#77&7%$"+adM9?!"*$!+#e#GbZ!#6$"+;:IQd!#77%$"*adM9%!"*$!+:EGbZ!#6$"+-$Qd+%!"*7%$"*YUl&Q!"*$!+:EGbZ!#6$"+)phU*R!"*7%$"+YUl&)>!"*$!+#e#GbZ!#6$!+;:IQd!#77&7%$"+YUl&)>!"*$!+#e#GbZ!#6$!+;:IQd!#77%$"*YUl&Q!"*$!+:EGbZ!#6$"+)phU*R!"*7%$"*HBWi$!"*$!+'HE*QH!#6$"+Kp(\)R!"*7%$"+HBWi>!"*$!+ji#*QH!#6$!+VoI-:!#67&7%$"+HBWi>!"*$!+ji#*QH!#6$!+VoI-:!#67%$"*HBWi$!"*$!+'HE*QH!#6$"+Kp(\)R!"*7%$"*lhd`$!"*$!+Z4(oP$!#>$"+m/V")R!"*7%$"+lhd`>!"*$!+:ao@&*!#@$!+#Q`p&=!#6-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7%7%$"*JB:2$!"*$!+,y3sM!#>$"+K4'G'R!"*7%$""!!""$!+:w1-T!#>$"#]!""7%$"*eY)[K!"*$"+*[_y(e!#6$"+jQ&*pR!"*7%7%$"*eY)[K!"*$"+*[_y(e!#6$"+jQ&*pR!"*7%$""!!""$!+:w1-T!#>$"#]!""7%$"*#\38P!"*$"+J^c5&*!#6$"+(RB&))R!"*7%7%$"*#\38P!"*$"+J^c5&*!#6$"+(RB&))R!"*7%$""!!""$!+:w1-T!#>$"#]!""7%$"*3:pG%!"*$"+L^c5&*!#6$"+.mZ6S!"*7%7%$"*3:pG%!"*$"+L^c5&*!#6$"+.mZ6S!"*7%$""!!""$!+:w1-T!#>$"#]!""7%$"*U`6v%!"*$"+$\_y(e!#6$"+Ph/IS!"*7%7%$"*U`6v%!"*$"+$\_y(e!#6$"+Ph/IS!"*7%$""!!""$!+:w1-T!#>$"#]!""7%$"*pw%G\!"*$!+&Q?74$!#>$"+o!Rr.%!"*7%7%$"*pw%G\!"*$!+&Q?74$!#>$"+o!Rr.%!"*7%$""!!""$!+:w1-T!#>$"#]!""7%$"*U`6v%!"*$!+bD&y(e!#6$"+Ph/IS!"*7%7%$"*U`6v%!"*$!+bD&y(e!#6$"+Ph/IS!"*7%$""!!""$!+:w1-T!#>$"#]!""7%$"*3:pG%!"*$!+(>l0^*!#6$"+.mZ6S!"*7%7%$"*3:pG%!"*$!+(>l0^*!#6$"+.mZ6S!"*7%$""!!""$!+:w1-T!#>$"#]!""7%$"*#\38P!"*$!+*>l0^*!#6$"+(RB&))R!"*7%7%$"*#\38P!"*$!+*>l0^*!#6$"+(RB&))R!"*7%$""!!""$!+:w1-T!#>$"#]!""7%$"*eY)[K!"*$!+fD&y(e!#6$"+jQ&*pR!"*7%7%$"*eY)[K!"*$!+fD&y(e!#6$"+jQ&*pR!"*7%$""!!""$!+:w1-T!#>$"#]!""7%$"*JB:2$!"*$!+,y3sM!#>$"+K4'G'R!"*-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$"*JB:2$!"*$!+,y3sM!#>$"+K4'G'R!"*7%$"*eY)[K!"*$"+*[_y(e!#6$"+jQ&*pR!"*7%$"*#\38P!"*$"+J^c5&*!#6$"+(RB&))R!"*7%$"*3:pG%!"*$"+L^c5&*!#6$"+.mZ6S!"*7%$"*U`6v%!"*$"+$\_y(e!#6$"+Ph/IS!"*7%$"*pw%G\!"*$!+&Q?74$!#>$"+o!Rr.%!"*7%$"*U`6v%!"*$!+bD&y(e!#6$"+Ph/IS!"*7%$"*3:pG%!"*$!+(>l0^*!#6$"+.mZ6S!"*7%$"*#\38P!"*$!+*>l0^*!#6$"+(RB&))R!"*7%$"*eY)[K!"*$!+fD&y(e!#6$"+jQ&*pR!"*-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$"+lhd`>!"*$!+:ao@&*!#@$!+#Q`p&=!#67%$"+HBWi>!"*$"+hi#*QH!#6$!+VoI-:!#67%$"+YUl&)>!"*$"+#e#GbZ!#6$!+;:IQd!#77%$"+adM9?!"*$"+#e#GbZ!#6$"+;:IQd!#77%$"+rwbP?!"*$"+ji#*QH!#6$"+VoI-:!#67%$"+NQUY?!"*$"+:ao@&*!#@$"+#Q`p&=!#67%$"+rwbP?!"*$!+hi#*QH!#6$"+VoI-:!#67%$"+adM9?!"*$!+#e#GbZ!#6$"+;:IQd!#77%$"+YUl&)>!"*$!+#e#GbZ!#6$!+;:IQd!#77%$"+HBWi>!"*$!+ji#*QH!#6$!+VoI-:!#6-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7&7%$!+G$)e,;!#?$"*cc4'R!")$!+Q_ZBJ!#67%$!*_x'G8!#<$")cc4w!")$"+[_woR!"*7%$!+%RE*QH!#6$"*$>8%o(!"*$"+b0tuR!"*7%$!+ji#*QH!#6$"+$>8%oR!"*$!+\X%p_#!#67&7%$!+ji#*QH!#6$"+$>8%oR!"*$!+\X%p_#!#67%$!+%RE*QH!#6$"*$>8%o(!"*$"+b0tuR!"*7%$!+8FGbZ!#6$"*8\$zy!"*$"+JzM!*R!"*7%$!+#e#GbZ!#6$"+8\$z)R!"*$!+"Gp?l*!#77&7%$!+#e#GbZ!#6$"+8\$z)R!"*$!+"Gp?l*!#77%$!+8FGbZ!#6$"*8\$zy!"*$"+JzM!*R!"*7%$!+8FGbZ!#6$"*(3l?")!"*$"+p?l4S!"*7%$!+#e#GbZ!#6$"+(3l?,%!"*$"+"Gp?l*!#77&7%$!+#e#GbZ!#6$"+(3l?,%!"*$"+"Gp?l*!#77%$!+8FGbZ!#6$"*(3l?")!"*$"+p?l4S!"*7%$!+#RE*QH!#6$"*2oeJ)!"*$"+X%p_-%!"*7%$!+hi#*QH!#6$"+2oeJS!"*$"+\X%p_#!#67&7%$!+hi#*QH!#6$"+2oeJS!"*$"+\X%p_#!#67%$!+#RE*QH!#6$"*2oeJ)!"*$"+X%p_-%!"*7%$!+adk'H"!#=$")WV!R)!")$"+_ZBJS!"*7%$"+G$)e,;!#?$"*WV!RS!")$"+Q_ZBJ!#67&7%$"+G$)e,;!#?$"*WV!RS!")$"+Q_ZBJ!#67%$!+adk'H"!#=$")WV!R)!")$"+_ZBJS!"*7%$"+Kh#*QH!#6$"*2oeJ)!"*$"+X%p_-%!"*7%$"+ji#*QH!#6$"+2oeJS!"*$"+\X%p_#!#67&7%$"+ji#*QH!#6$"+2oeJS!"*$"+\X%p_#!#67%$"+Kh#*QH!#6$"*2oeJ)!"*$"+X%p_-%!"*7%$"+^CGbZ!#6$"*(3l?")!"*$"+p?l4S!"*7%$"+#e#GbZ!#6$"+(3l?,%!"*$"+"Gp?l*!#77&7%$"+#e#GbZ!#6$"+(3l?,%!"*$"+"Gp?l*!#77%$"+^CGbZ!#6$"*(3l?")!"*$"+p?l4S!"*7%$"+^CGbZ!#6$"*8\$zy!"*$"+JzM!*R!"*7%$"+#e#GbZ!#6$"+8\$z)R!"*$!+"Gp?l*!#77&7%$"+#e#GbZ!#6$"+8\$z)R!"*$!+"Gp?l*!#77%$"+^CGbZ!#6$"*8\$zy!"*$"+JzM!*R!"*7%$"*8E*QH!#5$"*$>8%o(!"*$"+b0tuR!"*7%$"+hi#*QH!#6$"+$>8%oR!"*$!+\X%p_#!#67&7%$"+hi#*QH!#6$"+$>8%oR!"*$!+\X%p_#!#67%$"*8E*QH!#5$"*$>8%o(!"*$"+b0tuR!"*7%$!*_x'G8!#<$")cc4w!")$"+[_woR!"*7%$!+G$)e,;!#?$"*cc4'R!")$!+Q_ZBJ!#6-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6.7%7%$!+/MpW8!#=$"*>J">s!"*$"+&\Iv$R!"*7%$!+Yq#3k"!#=$"#5!#5$"#]!""7%$!+eE&y(e!#6$"*'QEot!"*$"+46Y\R!"*7%7%$!+eE&y(e!#6$"*'QEot!"*$"+46Y\R!"*7%$!+Yq#3k"!#=$"#5!#5$"#]!""7%$!+(Hl0^*!#6$"*F)pex!"*$"+hep!)R!"*7%7%$!+(Hl0^*!#6$"*F)pex!"*$"+hep!)R!"*7%$!+Yq#3k"!#=$"#5!#5$"#]!""7%$!+&Hl0^*!#6$"*t,8C)!"*$"+RTI>S!"*7%7%$!+&Hl0^*!#6$"*t,8C)!"*$"+RTI>S!"*7%$!+Yq#3k"!#=$"#5!#5$"#]!""7%$!+_E&y(e!#6$"*9O<j)!"*$"+"*)Q00%!"*7%7%$!+_E&y(e!#6$"*9O<j)!"*$"+"*)Q00%!"*7%$!+Yq#3k"!#=$"#5!#5$"#]!""7%$!*()H1G"!#<$"*")o3y)!"*$"+0&pC1%!"*7%7%$!*()H1G"!#<$"*")o3y)!"*$"+0&pC1%!"*7%$!+Yq#3k"!#=$"#5!#5$"#]!""7%$"+'R_y(e!#6$"*9O<j)!"*$"+"*)Q00%!"*7%7%$"+'R_y(e!#6$"*9O<j)!"*$"+"*)Q00%!"*7%$!+Yq#3k"!#=$"#5!#5$"#]!""7%$"+N]c5&*!#6$"*t,8C)!"*$"+RTI>S!"*7%7%$"+N]c5&*!#6$"*t,8C)!"*$"+RTI>S!"*7%$!+Yq#3k"!#=$"#5!#5$"#]!""7%$"+L]c5&*!#6$"*F)pex!"*$"+hep!)R!"*7%7%$"+L]c5&*!#6$"*F)pex!"*$"+hep!)R!"*7%$!+Yq#3k"!#=$"#5!#5$"#]!""7%$"*R_y(e!#5$"*'QEot!"*$"+46Y\R!"*7%7%$"*R_y(e!#5$"*'QEot!"*$"+46Y\R!"*7%$!+Yq#3k"!#=$"#5!#5$"#]!""7%$!+/MpW8!#=$"*>J">s!"*$"+&\Iv$R!"*-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$!+/MpW8!#=$"*>J">s!"*$"+&\Iv$R!"*7%$!+eE&y(e!#6$"*'QEot!"*$"+46Y\R!"*7%$!+(Hl0^*!#6$"*F)pex!"*$"+hep!)R!"*7%$!+&Hl0^*!#6$"*t,8C)!"*$"+RTI>S!"*7%$!+_E&y(e!#6$"*9O<j)!"*$"+"*)Q00%!"*7%$!*()H1G"!#<$"*")o3y)!"*$"+0&pC1%!"*7%$"+'R_y(e!#6$"*9O<j)!"*$"+"*)Q00%!"*7%$"+N]c5&*!#6$"*t,8C)!"*$"+RTI>S!"*7%$"+L]c5&*!#6$"*F)pex!"*$"+hep!)R!"*7%$"*R_y(e!#5$"*'QEot!"*$"+46Y\R!"*-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%)POLYGONSG6%7,7%$!+G$)e,;!#?$"*cc4'R!")$!+Q_ZBJ!#67%$!+ji#*QH!#6$"+$>8%oR!"*$!+\X%p_#!#67%$!+#e#GbZ!#6$"+8\$z)R!"*$!+"Gp?l*!#77%$!+#e#GbZ!#6$"+(3l?,%!"*$"+"Gp?l*!#77%$!+hi#*QH!#6$"+2oeJS!"*$"+\X%p_#!#67%$"+G$)e,;!#?$"*WV!RS!")$"+Q_ZBJ!#67%$"+ji#*QH!#6$"+2oeJS!"*$"+\X%p_#!#67%$"+#e#GbZ!#6$"+(3l?,%!"*$"+"Gp?l*!#77%$"+#e#GbZ!#6$"+8\$z)R!"*$!+"Gp?l*!#77%$"+hi#*QH!#6$"+$>8%oR!"*$!+\X%p_#!#6-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%&STYLEG6#%,PATCHNOGRIDG-%%TEXTG6$7%$""!!""$""#!""$"#]!""-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q"C6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%%TEXTG6$7%$""!!""$"#U!""$""!!""-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q"B6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%%TEXTG6$7%$"#7!""$""*!""$"#c!"#-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q"H6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%%TEXTG6$7%$"#A!""$""!!""$""!!""-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q"A6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-%%VIEWG6%%(DEFAULTG%(DEFAULTG;$""!!""$"#]!""-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""$6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+LIGHTMODELG6#Q(LIGHT_36"-%+PROJECTIONG6,$")b3pU!")$!($opb!"($"(pT7(!"($"(DA`&!"($"(a/%y!"($")sd9G!")$!(*H`r!"($")`nRF!")$")DVGk!")$"#5!""-%*AXESSTYLEG6#%%NONEG-%(SCALINGG6#%,CONSTRAINEDG-%%ROOTG6'-%)BOUNDS_XG6#$"$+"!""-%)BOUNDS_YG6#$"$+"!""-%-BOUNDS_WIDTHG6#$"%S_!""-%.BOUNDS_HEIGHTG6#$"%qY!""-%)CHILDRENG6"

Figure LP.19.1 Red vectors are along altitudes

Tools\342\211\273Load Package: Student Linear Algebra JSFH Data entry Define LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEiQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRiw2JVEiQkYnRi9GMkY1LUYsNiVRIkNGJ0YvRjJGNS1GLDYlUSJIRidGL0YyRjk= as vectors. 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JSFH print(); # input placeholder Obtain the equation of the plane; that is, find LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYoLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInlGJ0YvRjJGPS1GLDYlUSJ6RidGL0YyRkFGQUZB Write 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 Context Menu: Assign Name LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Write 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 Press the Enter key. Use drag-and-drop manipulations to obtain the equation 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Write 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 Context Menu: Assign Function JSFH JSFH Form and solve three equations Press the Enter key. Context Menu: Solve\342\211\273Solve for Variables\342\211\273LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYmLUYjNigtSSNtaUdGJDYlUSJ1RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiLEYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4zMzMzMzMzZW1GJy1GMTYlUSJ2RidGNEY3RjotRjE2JVEid0YnRjRGN0Y+Rj4vJSVvcGVuR1EifGZyRicvJSZjbG9zZUdRInxockYnRj4= Context Menu: Assign to a Name\342\211\273LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= 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 Obtain the orthocenter as 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 Expression palette: Evaluation template Evaluate H for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=. Context Menu: Assign to a Name\342\211\273V LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Show 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 and N are collinear Write LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiVkYnLyUlYm9sZEdRJXRydWVGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjctSSNtb0dGJDYtUSgmdGltZXM7RicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGUC1GLDYnUSJORidGL0YyRjVGOEY+ and press the Enter key. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH JSFH